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Finding the Fourth Proportional to 485,143.74, 727,793.46 and 204,702.30

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Solution

The fourth proportional to 485,143.74, 727,793.46 and 204,702.30 is: 307,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,143.74 : 727,793.46 = 204,702.30 : x
  2. Step 2: Convert to fraction form
    485,143.74/727,793.46 = 204,702.30/x
  3. Step 3: Cross multiply
    485,143.74x = 727,793.46 × 204,702.30
  4. Step 4: Simplify right side
    485,143.74x = 148,980,995,186.96
  5. Step 5: Solve for x
    x = 148,980,995,186.96/485,143.74
  6. Step 6: Final answer
    x = 307,086.30

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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.