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Finding the Fourth Proportional to 498,776, 688,314.53 and 272,421.50

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Solution

The fourth proportional to 498,776, 688,314.53 and 272,421.50 is: 375,943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,776 : 688,314.53 = 272,421.50 : x
  2. Step 2: Convert to fraction form
    498,776/688,314.53 = 272,421.50/x
  3. Step 3: Cross multiply
    498,776x = 688,314.53 × 272,421.50
  4. Step 4: Simplify right side
    498,776x = 187,511,675,372.29
  5. Step 5: Solve for x
    x = 187,511,675,372.29/498,776
  6. Step 6: Final answer
    x = 375,943.66

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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.