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Finding the Fourth Proportional to 485,434.60, 727,892.70 and 204,634.60

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Solution

The fourth proportional to 485,434.60, 727,892.70 and 204,634.60 is: 306,842.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,434.60 : 727,892.70 = 204,634.60 : x
  2. Step 2: Convert to fraction form
    485,434.60/727,892.70 = 204,634.60/x
  3. Step 3: Cross multiply
    485,434.60x = 727,892.70 × 204,634.60
  4. Step 4: Simplify right side
    485,434.60x = 148,952,031,507.42
  5. Step 5: Solve for x
    x = 148,952,031,507.42/485,434.60
  6. Step 6: Final answer
    x = 306,842.63

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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.