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Finding the Fourth Proportional to 482,710.52, 724,185.16 and 340,833.78

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Solution

The fourth proportional to 482,710.52, 724,185.16 and 340,833.78 is: 511,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,710.52 : 724,185.16 = 340,833.78 : x
  2. Step 2: Convert to fraction form
    482,710.52/724,185.16 = 340,833.78/x
  3. Step 3: Cross multiply
    482,710.52x = 724,185.16 × 340,833.78
  4. Step 4: Simplify right side
    482,710.52x = 246,826,764,650.62
  5. Step 5: Solve for x
    x = 246,826,764,650.62/482,710.52
  6. Step 6: Final answer
    x = 511,334.96

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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.