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Finding the Fourth Proportional to 429,801, 644,449.77 and 163,581.18

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Solution

The fourth proportional to 429,801, 644,449.77 and 163,581.18 is: 245,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,801 : 644,449.77 = 163,581.18 : x
  2. Step 2: Convert to fraction form
    429,801/644,449.77 = 163,581.18/x
  3. Step 3: Cross multiply
    429,801x = 644,449.77 × 163,581.18
  4. Step 4: Simplify right side
    429,801x = 105,419,853,827.33
  5. Step 5: Solve for x
    x = 105,419,853,827.33/429,801
  6. Step 6: Final answer
    x = 245,275.96

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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.