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Finding the Fourth Proportional to 386,403.89, 578,874.25 and 257,932.82

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Solution

The fourth proportional to 386,403.89, 578,874.25 and 257,932.82 is: 386,410.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,403.89 : 578,874.25 = 257,932.82 : x
  2. Step 2: Convert to fraction form
    386,403.89/578,874.25 = 257,932.82/x
  3. Step 3: Cross multiply
    386,403.89x = 578,874.25 × 257,932.82
  4. Step 4: Simplify right side
    386,403.89x = 149,310,668,046.62
  5. Step 5: Solve for x
    x = 149,310,668,046.62/386,403.89
  6. Step 6: Final answer
    x = 386,410.89

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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.