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Finding the Fourth Proportional to 431,392.40, 647,107.80 and 147,078.80

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Solution

The fourth proportional to 431,392.40, 647,107.80 and 147,078.80 is: 220,624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,392.40 : 647,107.80 = 147,078.80 : x
  2. Step 2: Convert to fraction form
    431,392.40/647,107.80 = 147,078.80/x
  3. Step 3: Cross multiply
    431,392.40x = 647,107.80 × 147,078.80
  4. Step 4: Simplify right side
    431,392.40x = 95,175,838,694.64
  5. Step 5: Solve for x
    x = 95,175,838,694.64/431,392.40
  6. Step 6: Final answer
    x = 220,624.75

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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.