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Finding the Fourth Proportional to 498,691, 688,197.36 and 272,336.50

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Solution

The fourth proportional to 498,691, 688,197.36 and 272,336.50 is: 375,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,691 : 688,197.36 = 272,336.50 : x
  2. Step 2: Convert to fraction form
    498,691/688,197.36 = 272,336.50/x
  3. Step 3: Cross multiply
    498,691x = 688,197.36 × 272,336.50
  4. Step 4: Simplify right side
    498,691x = 187,421,260,331.64
  5. Step 5: Solve for x
    x = 187,421,260,331.64/498,691
  6. Step 6: Final answer
    x = 375,826.43

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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.