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Finding the Fourth Proportional to 642,376.50, 963,630.36 and 221,651.16

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Solution

The fourth proportional to 642,376.50, 963,630.36 and 221,651.16 is: 332,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,376.50 : 963,630.36 = 221,651.16 : x
  2. Step 2: Convert to fraction form
    642,376.50/963,630.36 = 221,651.16/x
  3. Step 3: Cross multiply
    642,376.50x = 963,630.36 × 221,651.16
  4. Step 4: Simplify right side
    642,376.50x = 213,589,787,105.22
  5. Step 5: Solve for x
    x = 213,589,787,105.22/642,376.50
  6. Step 6: Final answer
    x = 332,499.38

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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.