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Finding the Fourth Proportional to 881,144, 1,216,082.40 and 523,448

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Solution

The fourth proportional to 881,144, 1,216,082.40 and 523,448 is: 722,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,144 : 1,216,082.40 = 523,448 : x
  2. Step 2: Convert to fraction form
    881,144/1,216,082.40 = 523,448/x
  3. Step 3: Cross multiply
    881,144x = 1,216,082.40 × 523,448
  4. Step 4: Simplify right side
    881,144x = 636,555,900,115.20
  5. Step 5: Solve for x
    x = 636,555,900,115.20/881,144
  6. Step 6: Final answer
    x = 722,419.83

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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.