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Finding the Fourth Proportional to 257,253.89, 386,012.47 and 122,470.30

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Solution

The fourth proportional to 257,253.89, 386,012.47 and 122,470.30 is: 183,768.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,253.89 : 386,012.47 = 122,470.30 : x
  2. Step 2: Convert to fraction form
    257,253.89/386,012.47 = 122,470.30/x
  3. Step 3: Cross multiply
    257,253.89x = 386,012.47 × 122,470.30
  4. Step 4: Simplify right side
    257,253.89x = 47,275,061,733.43
  5. Step 5: Solve for x
    x = 47,275,061,733.43/257,253.89
  6. Step 6: Final answer
    x = 183,768.11

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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.