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Finding the Fourth Proportional to 284,411.39, 392,487.49 and 157,087.01

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Solution

The fourth proportional to 284,411.39, 392,487.49 and 157,087.01 is: 216,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,411.39 : 392,487.49 = 157,087.01 : x
  2. Step 2: Convert to fraction form
    284,411.39/392,487.49 = 157,087.01/x
  3. Step 3: Cross multiply
    284,411.39x = 392,487.49 × 157,087.01
  4. Step 4: Simplify right side
    284,411.39x = 61,654,687,444.08
  5. Step 5: Solve for x
    x = 61,654,687,444.08/284,411.39
  6. Step 6: Final answer
    x = 216,779.96

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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.