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Finding the Fourth Proportional to 356,563.20, 492,049.28 and 195,414.72

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Solution

The fourth proportional to 356,563.20, 492,049.28 and 195,414.72 is: 269,667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,563.20 : 492,049.28 = 195,414.72 : x
  2. Step 2: Convert to fraction form
    356,563.20/492,049.28 = 195,414.72/x
  3. Step 3: Cross multiply
    356,563.20x = 492,049.28 × 195,414.72
  4. Step 4: Simplify right side
    356,563.20x = 96,153,672,277.40
  5. Step 5: Solve for x
    x = 96,153,672,277.40/356,563.20
  6. Step 6: Final answer
    x = 269,667.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.