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Finding the Fourth Proportional to 359,458.43, 496,049.21 and 198,314.78

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Solution

The fourth proportional to 359,458.43, 496,049.21 and 198,314.78 is: 273,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,458.43 : 496,049.21 = 198,314.78 : x
  2. Step 2: Convert to fraction form
    359,458.43/496,049.21 = 198,314.78/x
  3. Step 3: Cross multiply
    359,458.43x = 496,049.21 × 198,314.78
  4. Step 4: Simplify right side
    359,458.43x = 98,373,889,950.32
  5. Step 5: Solve for x
    x = 98,373,889,950.32/359,458.43
  6. Step 6: Final answer
    x = 273,672.51

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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.