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Finding the Fourth Proportional to 307,247.38, 423,761.02 and 199,851.71

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Solution

The fourth proportional to 307,247.38, 423,761.02 and 199,851.71 is: 275,639.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,247.38 : 423,761.02 = 199,851.71 : x
  2. Step 2: Convert to fraction form
    307,247.38/423,761.02 = 199,851.71/x
  3. Step 3: Cross multiply
    307,247.38x = 423,761.02 × 199,851.71
  4. Step 4: Simplify right side
    307,247.38x = 84,689,361,859.91
  5. Step 5: Solve for x
    x = 84,689,361,859.91/307,247.38
  6. Step 6: Final answer
    x = 275,639.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.