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Finding the Fourth Proportional to 425,394.14, 638,103.58 and 159,103.84

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Solution

The fourth proportional to 425,394.14, 638,103.58 and 159,103.84 is: 238,660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,394.14 : 638,103.58 = 159,103.84 : x
  2. Step 2: Convert to fraction form
    425,394.14/638,103.58 = 159,103.84/x
  3. Step 3: Cross multiply
    425,394.14x = 638,103.58 × 159,103.84
  4. Step 4: Simplify right side
    425,394.14x = 101,524,729,895.75
  5. Step 5: Solve for x
    x = 101,524,729,895.75/425,394.14
  6. Step 6: Final answer
    x = 238,660.39

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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.