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Finding the Fourth Proportional to 242,561.20, 363,841.80 and 207,131.80

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Solution

The fourth proportional to 242,561.20, 363,841.80 and 207,131.80 is: 310,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,561.20 : 363,841.80 = 207,131.80 : x
  2. Step 2: Convert to fraction form
    242,561.20/363,841.80 = 207,131.80/x
  3. Step 3: Cross multiply
    242,561.20x = 363,841.80 × 207,131.80
  4. Step 4: Simplify right side
    242,561.20x = 75,363,206,949.24
  5. Step 5: Solve for x
    x = 75,363,206,949.24/242,561.20
  6. Step 6: Final answer
    x = 310,697.70

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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.