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Finding the Fourth Proportional to 421,772.68, 632,732.82 and 272,157.28

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Solution

The fourth proportional to 421,772.68, 632,732.82 and 272,157.28 is: 408,283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,772.68 : 632,732.82 = 272,157.28 : x
  2. Step 2: Convert to fraction form
    421,772.68/632,732.82 = 272,157.28/x
  3. Step 3: Cross multiply
    421,772.68x = 632,732.82 × 272,157.28
  4. Step 4: Simplify right side
    421,772.68x = 172,202,843,257.93
  5. Step 5: Solve for x
    x = 172,202,843,257.93/421,772.68
  6. Step 6: Final answer
    x = 408,283.54

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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.