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Finding the Fourth Proportional to 498,065.52, 747,103.38 and 143,078.64

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Solution

The fourth proportional to 498,065.52, 747,103.38 and 143,078.64 is: 214,619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,065.52 : 747,103.38 = 143,078.64 : x
  2. Step 2: Convert to fraction form
    498,065.52/747,103.38 = 143,078.64/x
  3. Step 3: Cross multiply
    498,065.52x = 747,103.38 × 143,078.64
  4. Step 4: Simplify right side
    498,065.52x = 106,894,535,549.80
  5. Step 5: Solve for x
    x = 106,894,535,549.80/498,065.52
  6. Step 6: Final answer
    x = 214,619.43

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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.