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Finding the Fourth Proportional to 285,142.33, 393,494.92 and 157,813.57

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Solution

The fourth proportional to 285,142.33, 393,494.92 and 157,813.57 is: 217,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,142.33 : 393,494.92 = 157,813.57 : x
  2. Step 2: Convert to fraction form
    285,142.33/393,494.92 = 157,813.57/x
  3. Step 3: Cross multiply
    285,142.33x = 393,494.92 × 157,813.57
  4. Step 4: Simplify right side
    285,142.33x = 62,098,838,102.06
  5. Step 5: Solve for x
    x = 62,098,838,102.06/285,142.33
  6. Step 6: Final answer
    x = 217,781.90

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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.