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Finding the Fourth Proportional to 354,513.28, 489,229.84 and 193,371.76

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Solution

The fourth proportional to 354,513.28, 489,229.84 and 193,371.76 is: 266,853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,513.28 : 489,229.84 = 193,371.76 : x
  2. Step 2: Convert to fraction form
    354,513.28/489,229.84 = 193,371.76/x
  3. Step 3: Cross multiply
    354,513.28x = 489,229.84 × 193,371.76
  4. Step 4: Simplify right side
    354,513.28x = 94,603,235,205.32
  5. Step 5: Solve for x
    x = 94,603,235,205.32/354,513.28
  6. Step 6: Final answer
    x = 266,853.85

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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.