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Finding the Fourth Proportional to 488,273.92, 731,819.36 and 207,200.80

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Solution

The fourth proportional to 488,273.92, 731,819.36 and 207,200.80 is: 310,550.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,273.92 : 731,819.36 = 207,200.80 : x
  2. Step 2: Convert to fraction form
    488,273.92/731,819.36 = 207,200.80/x
  3. Step 3: Cross multiply
    488,273.92x = 731,819.36 × 207,200.80
  4. Step 4: Simplify right side
    488,273.92x = 151,633,556,847.49
  5. Step 5: Solve for x
    x = 151,633,556,847.49/488,273.92
  6. Step 6: Final answer
    x = 310,550.19

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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.