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Finding the Fourth Proportional to 221,614.40, 332,421.60 and 132,822.20

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Solution

The fourth proportional to 221,614.40, 332,421.60 and 132,822.20 is: 199,233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,614.40 : 332,421.60 = 132,822.20 : x
  2. Step 2: Convert to fraction form
    221,614.40/332,421.60 = 132,822.20/x
  3. Step 3: Cross multiply
    221,614.40x = 332,421.60 × 132,822.20
  4. Step 4: Simplify right side
    221,614.40x = 44,152,968,239.52
  5. Step 5: Solve for x
    x = 44,152,968,239.52/221,614.40
  6. Step 6: Final answer
    x = 199,233.30

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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.