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Finding the Fourth Proportional to 667,396, 1,001,085.96 and 268,029.60

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Solution

The fourth proportional to 667,396, 1,001,085.96 and 268,029.60 is: 402,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,396 : 1,001,085.96 = 268,029.60 : x
  2. Step 2: Convert to fraction form
    667,396/1,001,085.96 = 268,029.60/x
  3. Step 3: Cross multiply
    667,396x = 1,001,085.96 × 268,029.60
  4. Step 4: Simplify right side
    667,396x = 268,320,669,424.42
  5. Step 5: Solve for x
    x = 268,320,669,424.42/667,396
  6. Step 6: Final answer
    x = 402,041.17

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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.