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Finding the Fourth Proportional to 284,189.31, 392,184.45 and 156,864.87

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Solution

The fourth proportional to 284,189.31, 392,184.45 and 156,864.87 is: 216,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,189.31 : 392,184.45 = 156,864.87 : x
  2. Step 2: Convert to fraction form
    284,189.31/392,184.45 = 156,864.87/x
  3. Step 3: Cross multiply
    284,189.31x = 392,184.45 × 156,864.87
  4. Step 4: Simplify right side
    284,189.31x = 61,519,962,765.27
  5. Step 5: Solve for x
    x = 61,519,962,765.27/284,189.31
  6. Step 6: Final answer
    x = 216,475.29

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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.