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Finding the Fourth Proportional to 469,909.72, 649,003.98 and 317,576.97

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Solution

The fourth proportional to 469,909.72, 649,003.98 and 317,576.97 is: 438,613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,909.72 : 649,003.98 = 317,576.97 : x
  2. Step 2: Convert to fraction form
    469,909.72/649,003.98 = 317,576.97/x
  3. Step 3: Cross multiply
    469,909.72x = 649,003.98 × 317,576.97
  4. Step 4: Simplify right side
    469,909.72x = 206,108,718,677.25
  5. Step 5: Solve for x
    x = 206,108,718,677.25/469,909.72
  6. Step 6: Final answer
    x = 438,613.44

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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.