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Finding the Fourth Proportional to 498,361, 687,801.54 and 328,947.88

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Solution

The fourth proportional to 498,361, 687,801.54 and 328,947.88 is: 453,989.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,361 : 687,801.54 = 328,947.88 : x
  2. Step 2: Convert to fraction form
    498,361/687,801.54 = 328,947.88/x
  3. Step 3: Cross multiply
    498,361x = 687,801.54 × 328,947.88
  4. Step 4: Simplify right side
    498,361x = 226,250,858,443.74
  5. Step 5: Solve for x
    x = 226,250,858,443.74/498,361
  6. Step 6: Final answer
    x = 453,989.90

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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.