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Finding the Fourth Proportional to 257,254.89, 386,013.97 and 122,471.30

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Solution

The fourth proportional to 257,254.89, 386,013.97 and 122,471.30 is: 183,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,254.89 : 386,013.97 = 122,471.30 : x
  2. Step 2: Convert to fraction form
    257,254.89/386,013.97 = 122,471.30/x
  3. Step 3: Cross multiply
    257,254.89x = 386,013.97 × 122,471.30
  4. Step 4: Simplify right side
    257,254.89x = 47,275,632,724.06
  5. Step 5: Solve for x
    x = 47,275,632,724.06/257,254.89
  6. Step 6: Final answer
    x = 183,769.62

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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.