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Finding the Fourth Proportional to 431,373.80, 647,643.90 and 273,909.80

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Solution

The fourth proportional to 431,373.80, 647,643.90 and 273,909.80 is: 411,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,373.80 : 647,643.90 = 273,909.80 : x
  2. Step 2: Convert to fraction form
    431,373.80/647,643.90 = 273,909.80/x
  3. Step 3: Cross multiply
    431,373.80x = 647,643.90 × 273,909.80
  4. Step 4: Simplify right side
    431,373.80x = 177,396,011,120.22
  5. Step 5: Solve for x
    x = 177,396,011,120.22/431,373.80
  6. Step 6: Final answer
    x = 411,235.02

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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.