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Finding the Fourth Proportional to 359,565.86, 496,191.74 and 198,418.80

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Solution

The fourth proportional to 359,565.86, 496,191.74 and 198,418.80 is: 273,812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,565.86 : 496,191.74 = 198,418.80 : x
  2. Step 2: Convert to fraction form
    359,565.86/496,191.74 = 198,418.80/x
  3. Step 3: Cross multiply
    359,565.86x = 496,191.74 × 198,418.80
  4. Step 4: Simplify right side
    359,565.86x = 98,453,769,620.71
  5. Step 5: Solve for x
    x = 98,453,769,620.71/359,565.86
  6. Step 6: Final answer
    x = 273,812.90

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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.