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Finding the Fourth Proportional to 429,382.44, 644,073.11 and 163,079.28

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Solution

The fourth proportional to 429,382.44, 644,073.11 and 163,079.28 is: 244,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,382.44 : 644,073.11 = 163,079.28 : x
  2. Step 2: Convert to fraction form
    429,382.44/644,073.11 = 163,079.28/x
  3. Step 3: Cross multiply
    429,382.44x = 644,073.11 × 163,079.28
  4. Step 4: Simplify right side
    429,382.44x = 105,034,976,233.49
  5. Step 5: Solve for x
    x = 105,034,976,233.49/429,382.44
  6. Step 6: Final answer
    x = 244,618.71

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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.