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Finding the Fourth Proportional to 485,743.80, 727,449.30 and 392,431.80

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Solution

The fourth proportional to 485,743.80, 727,449.30 and 392,431.80 is: 587,705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,743.80 : 727,449.30 = 392,431.80 : x
  2. Step 2: Convert to fraction form
    485,743.80/727,449.30 = 392,431.80/x
  3. Step 3: Cross multiply
    485,743.80x = 727,449.30 × 392,431.80
  4. Step 4: Simplify right side
    485,743.80x = 285,474,238,207.74
  5. Step 5: Solve for x
    x = 285,474,238,207.74/485,743.80
  6. Step 6: Final answer
    x = 587,705.37

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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.