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Finding the Fourth Proportional to 397,872.60, 596,815.22 and 221,500.60

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Solution

The fourth proportional to 397,872.60, 596,815.22 and 221,500.60 is: 332,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,872.60 : 596,815.22 = 221,500.60 : x
  2. Step 2: Convert to fraction form
    397,872.60/596,815.22 = 221,500.60/x
  3. Step 3: Cross multiply
    397,872.60x = 596,815.22 × 221,500.60
  4. Step 4: Simplify right side
    397,872.60x = 132,194,929,319.13
  5. Step 5: Solve for x
    x = 132,194,929,319.13/397,872.60
  6. Step 6: Final answer
    x = 332,254.42

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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.