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Finding the Fourth Proportional to 478,382.80, 717,331.20 and 278,744.80

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Solution

The fourth proportional to 478,382.80, 717,331.20 and 278,744.80 is: 417,975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,382.80 : 717,331.20 = 278,744.80 : x
  2. Step 2: Convert to fraction form
    478,382.80/717,331.20 = 278,744.80/x
  3. Step 3: Cross multiply
    478,382.80x = 717,331.20 × 278,744.80
  4. Step 4: Simplify right side
    478,382.80x = 199,952,341,877.76
  5. Step 5: Solve for x
    x = 199,952,341,877.76/478,382.80
  6. Step 6: Final answer
    x = 417,975.61

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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.