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Finding the Fourth Proportional to 359,920.92, 496,694.62 and 198,780.06

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Solution

The fourth proportional to 359,920.92, 496,694.62 and 198,780.06 is: 274,318.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,920.92 : 496,694.62 = 198,780.06 : x
  2. Step 2: Convert to fraction form
    359,920.92/496,694.62 = 198,780.06/x
  3. Step 3: Cross multiply
    359,920.92x = 496,694.62 × 198,780.06
  4. Step 4: Simplify right side
    359,920.92x = 98,732,986,365.28
  5. Step 5: Solve for x
    x = 98,732,986,365.28/359,920.92
  6. Step 6: Final answer
    x = 274,318.55

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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.