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Finding the Fourth Proportional to 820,443.60, 1,230,607 and 221,438.88

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Solution

The fourth proportional to 820,443.60, 1,230,607 and 221,438.88 is: 332,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,443.60 : 1,230,607 = 221,438.88 : x
  2. Step 2: Convert to fraction form
    820,443.60/1,230,607 = 221,438.88/x
  3. Step 3: Cross multiply
    820,443.60x = 1,230,607 × 221,438.88
  4. Step 4: Simplify right side
    820,443.60x = 272,504,235,800.16
  5. Step 5: Solve for x
    x = 272,504,235,800.16/820,443.60
  6. Step 6: Final answer
    x = 332,142.56

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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.