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Finding the Fourth Proportional to 539,670.12, 809,414.16 and 198,042.88

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Solution

The fourth proportional to 539,670.12, 809,414.16 and 198,042.88 is: 297,030.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,670.12 : 809,414.16 = 198,042.88 : x
  2. Step 2: Convert to fraction form
    539,670.12/809,414.16 = 198,042.88/x
  3. Step 3: Cross multiply
    539,670.12x = 809,414.16 × 198,042.88
  4. Step 4: Simplify right side
    539,670.12x = 160,298,711,359.18
  5. Step 5: Solve for x
    x = 160,298,711,359.18/539,670.12
  6. Step 6: Final answer
    x = 297,030.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.