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Finding the Fourth Proportional to 498,278.60, 687,639.54 and 283,449.48

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Solution

The fourth proportional to 498,278.60, 687,639.54 and 283,449.48 is: 391,168.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,278.60 : 687,639.54 = 283,449.48 : x
  2. Step 2: Convert to fraction form
    498,278.60/687,639.54 = 283,449.48/x
  3. Step 3: Cross multiply
    498,278.60x = 687,639.54 × 283,449.48
  4. Step 4: Simplify right side
    498,278.60x = 194,911,070,040.44
  5. Step 5: Solve for x
    x = 194,911,070,040.44/498,278.60
  6. Step 6: Final answer
    x = 391,168.86

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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.