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Finding the Fourth Proportional to 284,118.72, 392,082.96 and 156,793.20

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Solution

The fourth proportional to 284,118.72, 392,082.96 and 156,793.20 is: 216,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,118.72 : 392,082.96 = 156,793.20 : x
  2. Step 2: Convert to fraction form
    284,118.72/392,082.96 = 156,793.20/x
  3. Step 3: Cross multiply
    284,118.72x = 392,082.96 × 156,793.20
  4. Step 4: Simplify right side
    284,118.72x = 61,475,941,963.87
  5. Step 5: Solve for x
    x = 61,475,941,963.87/284,118.72
  6. Step 6: Final answer
    x = 216,374.13

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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.