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Finding the Fourth Proportional to 284,382.72, 392,472.56 and 157,082.92

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Solution

The fourth proportional to 284,382.72, 392,472.56 and 157,082.92 is: 216,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,382.72 : 392,472.56 = 157,082.92 : x
  2. Step 2: Convert to fraction form
    284,382.72/392,472.56 = 157,082.92/x
  3. Step 3: Cross multiply
    284,382.72x = 392,472.56 × 157,082.92
  4. Step 4: Simplify right side
    284,382.72x = 61,650,735,156.20
  5. Step 5: Solve for x
    x = 61,650,735,156.20/284,382.72
  6. Step 6: Final answer
    x = 216,787.91

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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.