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Finding the Fourth Proportional to 284,229, 392,231.16 and 156,901.86

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Solution

The fourth proportional to 284,229, 392,231.16 and 156,901.86 is: 216,521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,229 : 392,231.16 = 156,901.86 : x
  2. Step 2: Convert to fraction form
    284,229/392,231.16 = 156,901.86/x
  3. Step 3: Cross multiply
    284,229x = 392,231.16 × 156,901.86
  4. Step 4: Simplify right side
    284,229x = 61,541,798,553.96
  5. Step 5: Solve for x
    x = 61,541,798,553.96/284,229
  6. Step 6: Final answer
    x = 216,521.88

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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.