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Finding the Fourth Proportional to 359,998.28, 496,788.10 and 198,849.86

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Solution

The fourth proportional to 359,998.28, 496,788.10 and 198,849.86 is: 274,407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,998.28 : 496,788.10 = 198,849.86 : x
  2. Step 2: Convert to fraction form
    359,998.28/496,788.10 = 198,849.86/x
  3. Step 3: Cross multiply
    359,998.28x = 496,788.10 × 198,849.86
  4. Step 4: Simplify right side
    359,998.28x = 98,786,244,134.67
  5. Step 5: Solve for x
    x = 98,786,244,134.67/359,998.28
  6. Step 6: Final answer
    x = 274,407.54

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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.