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Finding the Fourth Proportional to 515,380.80, 711,226.34 and 285,930.88

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Solution

The fourth proportional to 515,380.80, 711,226.34 and 285,930.88 is: 394,585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,380.80 : 711,226.34 = 285,930.88 : x
  2. Step 2: Convert to fraction form
    515,380.80/711,226.34 = 285,930.88/x
  3. Step 3: Cross multiply
    515,380.80x = 711,226.34 × 285,930.88
  4. Step 4: Simplify right side
    515,380.80x = 203,361,573,275.38
  5. Step 5: Solve for x
    x = 203,361,573,275.38/515,380.80
  6. Step 6: Final answer
    x = 394,585.08

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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.