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Finding the Fourth Proportional to 315,455.73, 472,789.80 and 157,729.29

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Solution

The fourth proportional to 315,455.73, 472,789.80 and 157,729.29 is: 236,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,455.73 : 472,789.80 = 157,729.29 : x
  2. Step 2: Convert to fraction form
    315,455.73/472,789.80 = 157,729.29/x
  3. Step 3: Cross multiply
    315,455.73x = 472,789.80 × 157,729.29
  4. Step 4: Simplify right side
    315,455.73x = 74,572,799,473.24
  5. Step 5: Solve for x
    x = 74,572,799,473.24/315,455.73
  6. Step 6: Final answer
    x = 236,397.04

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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.