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Finding the Fourth Proportional to 257,480.78, 386,221.41 and 146,439.50

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Solution

The fourth proportional to 257,480.78, 386,221.41 and 146,439.50 is: 219,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,480.78 : 386,221.41 = 146,439.50 : x
  2. Step 2: Convert to fraction form
    257,480.78/386,221.41 = 146,439.50/x
  3. Step 3: Cross multiply
    257,480.78x = 386,221.41 × 146,439.50
  4. Step 4: Simplify right side
    257,480.78x = 56,558,070,169.70
  5. Step 5: Solve for x
    x = 56,558,070,169.70/257,480.78
  6. Step 6: Final answer
    x = 219,659.39

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Half scale
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Double scale
Find fourth proportional to 257,481.78, 386,222.91 and 146,440.50
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.