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Finding the Fourth Proportional to 307,540, 461,340.24 and 85,924

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Solution

The fourth proportional to 307,540, 461,340.24 and 85,924 is: 128,894.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,540 : 461,340.24 = 85,924 : x
  2. Step 2: Convert to fraction form
    307,540/461,340.24 = 85,924/x
  3. Step 3: Cross multiply
    307,540x = 461,340.24 × 85,924
  4. Step 4: Simplify right side
    307,540x = 39,640,198,781.76
  5. Step 5: Solve for x
    x = 39,640,198,781.76/307,540
  6. Step 6: Final answer
    x = 128,894.45

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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.