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Finding the Fourth Proportional to 359,463.64, 496,069.32 and 198,320.80

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Solution

The fourth proportional to 359,463.64, 496,069.32 and 198,320.80 is: 273,687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,463.64 : 496,069.32 = 198,320.80 : x
  2. Step 2: Convert to fraction form
    359,463.64/496,069.32 = 198,320.80/x
  3. Step 3: Cross multiply
    359,463.64x = 496,069.32 × 198,320.80
  4. Step 4: Simplify right side
    359,463.64x = 98,380,864,397.86
  5. Step 5: Solve for x
    x = 98,380,864,397.86/359,463.64
  6. Step 6: Final answer
    x = 273,687.94

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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.