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Finding the Fourth Proportional to 498,438.47, 687,836.28 and 283,573.92

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Solution

The fourth proportional to 498,438.47, 687,836.28 and 283,573.92 is: 391,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,438.47 : 687,836.28 = 283,573.92 : x
  2. Step 2: Convert to fraction form
    498,438.47/687,836.28 = 283,573.92/x
  3. Step 3: Cross multiply
    498,438.47x = 687,836.28 × 283,573.92
  4. Step 4: Simplify right side
    498,438.47x = 195,052,433,880.61
  5. Step 5: Solve for x
    x = 195,052,433,880.61/498,438.47
  6. Step 6: Final answer
    x = 391,327.00

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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.