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Finding the Fourth Proportional to 422,223.68, 633,341.01 and 137,912.06

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Solution

The fourth proportional to 422,223.68, 633,341.01 and 137,912.06 is: 206,869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,223.68 : 633,341.01 = 137,912.06 : x
  2. Step 2: Convert to fraction form
    422,223.68/633,341.01 = 137,912.06/x
  3. Step 3: Cross multiply
    422,223.68x = 633,341.01 × 137,912.06
  4. Step 4: Simplify right side
    422,223.68x = 87,345,363,371.58
  5. Step 5: Solve for x
    x = 87,345,363,371.58/422,223.68
  6. Step 6: Final answer
    x = 206,869.88

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1.5x scale

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.