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Finding the Fourth Proportional to 284,405.61, 392,446.17 and 157,073.61

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Solution

The fourth proportional to 284,405.61, 392,446.17 and 157,073.61 is: 216,743.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,405.61 : 392,446.17 = 157,073.61 : x
  2. Step 2: Convert to fraction form
    284,405.61/392,446.17 = 157,073.61/x
  3. Step 3: Cross multiply
    284,405.61x = 392,446.17 × 157,073.61
  4. Step 4: Simplify right side
    284,405.61x = 61,642,936,652.57
  5. Step 5: Solve for x
    x = 61,642,936,652.57/284,405.61
  6. Step 6: Final answer
    x = 216,743.04

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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.