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Finding the Fourth Proportional to 407,104.29, 609,839.96 and 207,416.61

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Solution

The fourth proportional to 407,104.29, 609,839.96 and 207,416.61 is: 310,708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,104.29 : 609,839.96 = 207,416.61 : x
  2. Step 2: Convert to fraction form
    407,104.29/609,839.96 = 207,416.61/x
  3. Step 3: Cross multiply
    407,104.29x = 609,839.96 × 207,416.61
  4. Step 4: Simplify right side
    407,104.29x = 126,490,936,108.65
  5. Step 5: Solve for x
    x = 126,490,936,108.65/407,104.29
  6. Step 6: Final answer
    x = 310,708.92

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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.