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Finding the Fourth Proportional to 216,959.71, 324,120.14 and 140,434.82

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Solution

The fourth proportional to 216,959.71, 324,120.14 and 140,434.82 is: 209,798.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,959.71 : 324,120.14 = 140,434.82 : x
  2. Step 2: Convert to fraction form
    216,959.71/324,120.14 = 140,434.82/x
  3. Step 3: Cross multiply
    216,959.71x = 324,120.14 × 140,434.82
  4. Step 4: Simplify right side
    216,959.71x = 45,517,753,519.27
  5. Step 5: Solve for x
    x = 45,517,753,519.27/216,959.71
  6. Step 6: Final answer
    x = 209,798.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.