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Finding the Fourth Proportional to 426,842.52, 639,752.30 and 198,830.76

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Solution

The fourth proportional to 426,842.52, 639,752.30 and 198,830.76 is: 298,007.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,842.52 : 639,752.30 = 198,830.76 : x
  2. Step 2: Convert to fraction form
    426,842.52/639,752.30 = 198,830.76/x
  3. Step 3: Cross multiply
    426,842.52x = 639,752.30 × 198,830.76
  4. Step 4: Simplify right side
    426,842.52x = 127,202,436,020.75
  5. Step 5: Solve for x
    x = 127,202,436,020.75/426,842.52
  6. Step 6: Final answer
    x = 298,007.88

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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.