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Finding the Fourth Proportional to 667,394, 1,001,082.96 and 268,027.60

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Solution

The fourth proportional to 667,394, 1,001,082.96 and 268,027.60 is: 402,038.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,394 : 1,001,082.96 = 268,027.60 : x
  2. Step 2: Convert to fraction form
    667,394/1,001,082.96 = 268,027.60/x
  3. Step 3: Cross multiply
    667,394x = 1,001,082.96 × 268,027.60
  4. Step 4: Simplify right side
    667,394x = 268,317,863,169.70
  5. Step 5: Solve for x
    x = 268,317,863,169.70/667,394
  6. Step 6: Final answer
    x = 402,038.17

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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.