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Finding the Fourth Proportional to 422,391.92, 633,476.64 and 156,228.72

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Solution

The fourth proportional to 422,391.92, 633,476.64 and 156,228.72 is: 234,301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,391.92 : 633,476.64 = 156,228.72 : x
  2. Step 2: Convert to fraction form
    422,391.92/633,476.64 = 156,228.72/x
  3. Step 3: Cross multiply
    422,391.92x = 633,476.64 × 156,228.72
  4. Step 4: Simplify right side
    422,391.92x = 98,967,244,617.10
  5. Step 5: Solve for x
    x = 98,967,244,617.10/422,391.92
  6. Step 6: Final answer
    x = 234,301.94

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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.