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Finding the Fourth Proportional to 667,382.88, 1,001,065.86 and 161,948

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Solution

The fourth proportional to 667,382.88, 1,001,065.86 and 161,948 is: 242,919.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,382.88 : 1,001,065.86 = 161,948 : x
  2. Step 2: Convert to fraction form
    667,382.88/1,001,065.86 = 161,948/x
  3. Step 3: Cross multiply
    667,382.88x = 1,001,065.86 × 161,948
  4. Step 4: Simplify right side
    667,382.88x = 162,120,613,895.28
  5. Step 5: Solve for x
    x = 162,120,613,895.28/667,382.88
  6. Step 6: Final answer
    x = 242,919.95

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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.