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Finding the Fourth Proportional to 425,473.32, 638,397.90 and 225,745.14

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Solution

The fourth proportional to 425,473.32, 638,397.90 and 225,745.14 is: 338,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,473.32 : 638,397.90 = 225,745.14 : x
  2. Step 2: Convert to fraction form
    425,473.32/638,397.90 = 225,745.14/x
  3. Step 3: Cross multiply
    425,473.32x = 638,397.90 × 225,745.14
  4. Step 4: Simplify right side
    425,473.32x = 144,115,223,311.21
  5. Step 5: Solve for x
    x = 144,115,223,311.21/425,473.32
  6. Step 6: Final answer
    x = 338,717.42

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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.