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Finding the Fourth Proportional to 257,490.70, 355,373.93 and 142,794.85

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Solution

The fourth proportional to 257,490.70, 355,373.93 and 142,794.85 is: 197,077.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,490.70 : 355,373.93 = 142,794.85 : x
  2. Step 2: Convert to fraction form
    257,490.70/355,373.93 = 142,794.85/x
  3. Step 3: Cross multiply
    257,490.70x = 355,373.93 × 142,794.85
  4. Step 4: Simplify right side
    257,490.70x = 50,745,565,961.33
  5. Step 5: Solve for x
    x = 50,745,565,961.33/257,490.70
  6. Step 6: Final answer
    x = 197,077.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.