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Finding the Fourth Proportional to 709,082.73, 978,494.11 and 403,116.57

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Solution

The fourth proportional to 709,082.73, 978,494.11 and 403,116.57 is: 556,278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,082.73 : 978,494.11 = 403,116.57 : x
  2. Step 2: Convert to fraction form
    709,082.73/978,494.11 = 403,116.57/x
  3. Step 3: Cross multiply
    709,082.73x = 978,494.11 × 403,116.57
  4. Step 4: Simplify right side
    709,082.73x = 394,447,188,380.61
  5. Step 5: Solve for x
    x = 394,447,188,380.61/709,082.73
  6. Step 6: Final answer
    x = 556,278.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.