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Finding the Fourth Proportional to 399,077.57, 550,739.19 and 227,020.46

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Solution

The fourth proportional to 399,077.57, 550,739.19 and 227,020.46 is: 313,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,077.57 : 550,739.19 = 227,020.46 : x
  2. Step 2: Convert to fraction form
    399,077.57/550,739.19 = 227,020.46/x
  3. Step 3: Cross multiply
    399,077.57x = 550,739.19 × 227,020.46
  4. Step 4: Simplify right side
    399,077.57x = 125,029,061,500.13
  5. Step 5: Solve for x
    x = 125,029,061,500.13/399,077.57
  6. Step 6: Final answer
    x = 313,295.14

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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.