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Finding the Fourth Proportional to 313,273.26, 469,909.89 and 76,613.13

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Solution

The fourth proportional to 313,273.26, 469,909.89 and 76,613.13 is: 114,919.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,273.26 : 469,909.89 = 76,613.13 : x
  2. Step 2: Convert to fraction form
    313,273.26/469,909.89 = 76,613.13/x
  3. Step 3: Cross multiply
    313,273.26x = 469,909.89 × 76,613.13
  4. Step 4: Simplify right side
    313,273.26x = 36,001,267,490.86
  5. Step 5: Solve for x
    x = 36,001,267,490.86/313,273.26
  6. Step 6: Final answer
    x = 114,919.70

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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.