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Finding the Fourth Proportional to 404,854.92, 606,876 and 138,433.20

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Solution

The fourth proportional to 404,854.92, 606,876 and 138,433.20 is: 207,510.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,854.92 : 606,876 = 138,433.20 : x
  2. Step 2: Convert to fraction form
    404,854.92/606,876 = 138,433.20/x
  3. Step 3: Cross multiply
    404,854.92x = 606,876 × 138,433.20
  4. Step 4: Simplify right side
    404,854.92x = 84,011,786,683.20
  5. Step 5: Solve for x
    x = 84,011,786,683.20/404,854.92
  6. Step 6: Final answer
    x = 207,510.85

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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.