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Finding the Fourth Proportional to 498,414.80, 687,788.40 and 283,534.64

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Solution

The fourth proportional to 498,414.80, 687,788.40 and 283,534.64 is: 391,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,414.80 : 687,788.40 = 283,534.64 : x
  2. Step 2: Convert to fraction form
    498,414.80/687,788.40 = 283,534.64/x
  3. Step 3: Cross multiply
    498,414.80x = 687,788.40 × 283,534.64
  4. Step 4: Simplify right side
    498,414.80x = 195,011,836,390.18
  5. Step 5: Solve for x
    x = 195,011,836,390.18/498,414.80
  6. Step 6: Final answer
    x = 391,264.14

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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.