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Finding the Fourth Proportional to 359,788.68, 496,505.16 and 198,640.26

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Solution

The fourth proportional to 359,788.68, 496,505.16 and 198,640.26 is: 274,121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,788.68 : 496,505.16 = 198,640.26 : x
  2. Step 2: Convert to fraction form
    359,788.68/496,505.16 = 198,640.26/x
  3. Step 3: Cross multiply
    359,788.68x = 496,505.16 × 198,640.26
  4. Step 4: Simplify right side
    359,788.68x = 98,625,914,073.74
  5. Step 5: Solve for x
    x = 98,625,914,073.74/359,788.68
  6. Step 6: Final answer
    x = 274,121.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.