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Finding the Fourth Proportional to 642,227.32, 963,639.87 and 287,481.34

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Solution

The fourth proportional to 642,227.32, 963,639.87 and 287,481.34 is: 431,355.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,227.32 : 963,639.87 = 287,481.34 : x
  2. Step 2: Convert to fraction form
    642,227.32/963,639.87 = 287,481.34/x
  3. Step 3: Cross multiply
    642,227.32x = 963,639.87 × 287,481.34
  4. Step 4: Simplify right side
    642,227.32x = 277,028,481,105.03
  5. Step 5: Solve for x
    x = 277,028,481,105.03/642,227.32
  6. Step 6: Final answer
    x = 431,355.80

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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.