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Finding the Fourth Proportional to 429,474.91, 644,211.66 and 109,626.73

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Solution

The fourth proportional to 429,474.91, 644,211.66 and 109,626.73 is: 164,439.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,474.91 : 644,211.66 = 109,626.73 : x
  2. Step 2: Convert to fraction form
    429,474.91/644,211.66 = 109,626.73/x
  3. Step 3: Cross multiply
    429,474.91x = 644,211.66 × 109,626.73
  4. Step 4: Simplify right side
    429,474.91x = 70,622,820,137.93
  5. Step 5: Solve for x
    x = 70,622,820,137.93/429,474.91
  6. Step 6: Final answer
    x = 164,439.92

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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.