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Finding the Fourth Proportional to 429,969.16, 644,951.71 and 110,120.42

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Solution

The fourth proportional to 429,969.16, 644,951.71 and 110,120.42 is: 165,180.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,969.16 : 644,951.71 = 110,120.42 : x
  2. Step 2: Convert to fraction form
    429,969.16/644,951.71 = 110,120.42/x
  3. Step 3: Cross multiply
    429,969.16x = 644,951.71 × 110,120.42
  4. Step 4: Simplify right side
    429,969.16x = 71,022,353,184.92
  5. Step 5: Solve for x
    x = 71,022,353,184.92/429,969.16
  6. Step 6: Final answer
    x = 165,180.11

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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.