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Finding the Fourth Proportional to 435,642.20, 653,163.60 and 221,996.60

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Solution

The fourth proportional to 435,642.20, 653,163.60 and 221,996.60 is: 332,842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,642.20 : 653,163.60 = 221,996.60 : x
  2. Step 2: Convert to fraction form
    435,642.20/653,163.60 = 221,996.60/x
  3. Step 3: Cross multiply
    435,642.20x = 653,163.60 × 221,996.60
  4. Step 4: Simplify right side
    435,642.20x = 145,000,098,443.76
  5. Step 5: Solve for x
    x = 145,000,098,443.76/435,642.20
  6. Step 6: Final answer
    x = 332,842.18

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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.