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Finding the Fourth Proportional to 257,262.33, 386,025.12 and 122,478.78

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Solution

The fourth proportional to 257,262.33, 386,025.12 and 122,478.78 is: 183,780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,262.33 : 386,025.12 = 122,478.78 : x
  2. Step 2: Convert to fraction form
    257,262.33/386,025.12 = 122,478.78/x
  3. Step 3: Cross multiply
    257,262.33x = 386,025.12 × 122,478.78
  4. Step 4: Simplify right side
    257,262.33x = 47,279,885,746.95
  5. Step 5: Solve for x
    x = 47,279,885,746.95/257,262.33
  6. Step 6: Final answer
    x = 183,780.83

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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.