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Finding the Fourth Proportional to 498,782.52, 747,466.41 and 385,937.43

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Solution

The fourth proportional to 498,782.52, 747,466.41 and 385,937.43 is: 578,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,782.52 : 747,466.41 = 385,937.43 : x
  2. Step 2: Convert to fraction form
    498,782.52/747,466.41 = 385,937.43/x
  3. Step 3: Cross multiply
    498,782.52x = 747,466.41 × 385,937.43
  4. Step 4: Simplify right side
    498,782.52x = 288,475,265,286.73
  5. Step 5: Solve for x
    x = 288,475,265,286.73/498,782.52
  6. Step 6: Final answer
    x = 578,358.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.