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Finding the Fourth Proportional to 422,954.78, 634,178.75 and 134,641.85

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Solution

The fourth proportional to 422,954.78, 634,178.75 and 134,641.85 is: 201,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,954.78 : 634,178.75 = 134,641.85 : x
  2. Step 2: Convert to fraction form
    422,954.78/634,178.75 = 134,641.85/x
  3. Step 3: Cross multiply
    422,954.78x = 634,178.75 × 134,641.85
  4. Step 4: Simplify right side
    422,954.78x = 85,386,996,286.58
  5. Step 5: Solve for x
    x = 85,386,996,286.58/422,954.78
  6. Step 6: Final answer
    x = 201,882.10

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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.