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Finding the Fourth Proportional to 359,657.82, 496,327.32 and 198,513

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Solution

The fourth proportional to 359,657.82, 496,327.32 and 198,513 is: 273,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,657.82 : 496,327.32 = 198,513 : x
  2. Step 2: Convert to fraction form
    359,657.82/496,327.32 = 198,513/x
  3. Step 3: Cross multiply
    359,657.82x = 496,327.32 × 198,513
  4. Step 4: Simplify right side
    359,657.82x = 98,527,425,275.16
  5. Step 5: Solve for x
    x = 98,527,425,275.16/359,657.82
  6. Step 6: Final answer
    x = 273,947.68

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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.