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Finding the Fourth Proportional to 485,321.41, 727,983.96 and 148,360.78

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Solution

The fourth proportional to 485,321.41, 727,983.96 and 148,360.78 is: 222,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,321.41 : 727,983.96 = 148,360.78 : x
  2. Step 2: Convert to fraction form
    485,321.41/727,983.96 = 148,360.78/x
  3. Step 3: Cross multiply
    485,321.41x = 727,983.96 × 148,360.78
  4. Step 4: Simplify right side
    485,321.41x = 108,004,268,133.09
  5. Step 5: Solve for x
    x = 108,004,268,133.09/485,321.41
  6. Step 6: Final answer
    x = 222,541.73

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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.