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Finding the Fourth Proportional to 429,344.75, 644,017.17 and 133,856.75

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Solution

The fourth proportional to 429,344.75, 644,017.17 and 133,856.75 is: 200,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,344.75 : 644,017.17 = 133,856.75 : x
  2. Step 2: Convert to fraction form
    429,344.75/644,017.17 = 133,856.75/x
  3. Step 3: Cross multiply
    429,344.75x = 644,017.17 × 133,856.75
  4. Step 4: Simplify right side
    429,344.75x = 86,206,045,320.40
  5. Step 5: Solve for x
    x = 86,206,045,320.40/429,344.75
  6. Step 6: Final answer
    x = 200,785.14

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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.