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Finding the Fourth Proportional to 257,833.92, 386,391.20 and 139,249.92

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Solution

The fourth proportional to 257,833.92, 386,391.20 and 139,249.92 is: 208,680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,833.92 : 386,391.20 = 139,249.92 : x
  2. Step 2: Convert to fraction form
    257,833.92/386,391.20 = 139,249.92/x
  3. Step 3: Cross multiply
    257,833.92x = 386,391.20 × 139,249.92
  4. Step 4: Simplify right side
    257,833.92x = 53,804,943,688.70
  5. Step 5: Solve for x
    x = 53,804,943,688.70/257,833.92
  6. Step 6: Final answer
    x = 208,680.63

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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.