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Finding the Fourth Proportional to 280,164.78, 386,626.89 and 152,840.40

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Solution

The fourth proportional to 280,164.78, 386,626.89 and 152,840.40 is: 210,919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,164.78 : 386,626.89 = 152,840.40 : x
  2. Step 2: Convert to fraction form
    280,164.78/386,626.89 = 152,840.40/x
  3. Step 3: Cross multiply
    280,164.78x = 386,626.89 × 152,840.40
  4. Step 4: Simplify right side
    280,164.78x = 59,092,208,518.36
  5. Step 5: Solve for x
    x = 59,092,208,518.36/280,164.78
  6. Step 6: Final answer
    x = 210,919.48

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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.