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Finding the Fourth Proportional to 257,265.33, 386,029.62 and 122,481.78

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Solution

The fourth proportional to 257,265.33, 386,029.62 and 122,481.78 is: 183,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,265.33 : 386,029.62 = 122,481.78 : x
  2. Step 2: Convert to fraction form
    257,265.33/386,029.62 = 122,481.78/x
  3. Step 3: Cross multiply
    257,265.33x = 386,029.62 × 122,481.78
  4. Step 4: Simplify right side
    257,265.33x = 47,281,594,990.32
  5. Step 5: Solve for x
    x = 47,281,594,990.32/257,265.33
  6. Step 6: Final answer
    x = 183,785.34

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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.