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Finding the Fourth Proportional to 402,098.56, 602,229.12 and 191,884.08

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Solution

The fourth proportional to 402,098.56, 602,229.12 and 191,884.08 is: 287,387.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,098.56 : 602,229.12 = 191,884.08 : x
  2. Step 2: Convert to fraction form
    402,098.56/602,229.12 = 191,884.08/x
  3. Step 3: Cross multiply
    402,098.56x = 602,229.12 × 191,884.08
  4. Step 4: Simplify right side
    402,098.56x = 115,558,180,640.41
  5. Step 5: Solve for x
    x = 115,558,180,640.41/402,098.56
  6. Step 6: Final answer
    x = 287,387.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.