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Finding the Fourth Proportional to 498,780.50, 688,320.74 and 272,426

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Solution

The fourth proportional to 498,780.50, 688,320.74 and 272,426 is: 375,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,780.50 : 688,320.74 = 272,426 : x
  2. Step 2: Convert to fraction form
    498,780.50/688,320.74 = 272,426/x
  3. Step 3: Cross multiply
    498,780.50x = 688,320.74 × 272,426
  4. Step 4: Simplify right side
    498,780.50x = 187,516,465,915.24
  5. Step 5: Solve for x
    x = 187,516,465,915.24/498,780.50
  6. Step 6: Final answer
    x = 375,949.87

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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.