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Finding the Fourth Proportional to 418,013.44, 627,028.16 and 133,758.08

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Solution

The fourth proportional to 418,013.44, 627,028.16 and 133,758.08 is: 200,639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,013.44 : 627,028.16 = 133,758.08 : x
  2. Step 2: Convert to fraction form
    418,013.44/627,028.16 = 133,758.08/x
  3. Step 3: Cross multiply
    418,013.44x = 627,028.16 × 133,758.08
  4. Step 4: Simplify right side
    418,013.44x = 83,870,082,787.53
  5. Step 5: Solve for x
    x = 83,870,082,787.53/418,013.44
  6. Step 6: Final answer
    x = 200,639.68

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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.