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Finding the Fourth Proportional to 359,778.80, 496,495.49 and 198,634.16

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Solution

The fourth proportional to 359,778.80, 496,495.49 and 198,634.16 is: 274,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,778.80 : 496,495.49 = 198,634.16 : x
  2. Step 2: Convert to fraction form
    359,778.80/496,495.49 = 198,634.16/x
  3. Step 3: Cross multiply
    359,778.80x = 496,495.49 × 198,634.16
  4. Step 4: Simplify right side
    359,778.80x = 98,620,962,614.05
  5. Step 5: Solve for x
    x = 98,620,962,614.05/359,778.80
  6. Step 6: Final answer
    x = 274,115.55

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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.