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Finding the Fourth Proportional to 485,311.75, 727,969.50 and 148,351.11

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Solution

The fourth proportional to 485,311.75, 727,969.50 and 148,351.11 is: 222,527.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,311.75 : 727,969.50 = 148,351.11 : x
  2. Step 2: Convert to fraction form
    485,311.75/727,969.50 = 148,351.11/x
  3. Step 3: Cross multiply
    485,311.75x = 727,969.50 × 148,351.11
  4. Step 4: Simplify right side
    485,311.75x = 107,995,083,371.15
  5. Step 5: Solve for x
    x = 107,995,083,371.15/485,311.75
  6. Step 6: Final answer
    x = 222,527.24

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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.