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Finding the Fourth Proportional to 498,648.56, 688,137.54 and 272,294.08

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Solution

The fourth proportional to 498,648.56, 688,137.54 and 272,294.08 is: 375,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,648.56 : 688,137.54 = 272,294.08 : x
  2. Step 2: Convert to fraction form
    498,648.56/688,137.54 = 272,294.08/x
  3. Step 3: Cross multiply
    498,648.56x = 688,137.54 × 272,294.08
  4. Step 4: Simplify right side
    498,648.56x = 187,375,778,367.76
  5. Step 5: Solve for x
    x = 187,375,778,367.76/498,648.56
  6. Step 6: Final answer
    x = 375,767.21

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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.