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Finding the Fourth Proportional to 393,082.28, 542,385.54 and 231,925.16

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Solution

The fourth proportional to 393,082.28, 542,385.54 and 231,925.16 is: 320,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,082.28 : 542,385.54 = 231,925.16 : x
  2. Step 2: Convert to fraction form
    393,082.28/542,385.54 = 231,925.16/x
  3. Step 3: Cross multiply
    393,082.28x = 542,385.54 × 231,925.16
  4. Step 4: Simplify right side
    393,082.28x = 125,792,853,146.19
  5. Step 5: Solve for x
    x = 125,792,853,146.19/393,082.28
  6. Step 6: Final answer
    x = 320,016.60

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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.