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Finding the Fourth Proportional to 221,478.40, 332,217.60 and 162,429.40

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Solution

The fourth proportional to 221,478.40, 332,217.60 and 162,429.40 is: 243,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,478.40 : 332,217.60 = 162,429.40 : x
  2. Step 2: Convert to fraction form
    221,478.40/332,217.60 = 162,429.40/x
  3. Step 3: Cross multiply
    221,478.40x = 332,217.60 × 162,429.40
  4. Step 4: Simplify right side
    221,478.40x = 53,961,905,437.44
  5. Step 5: Solve for x
    x = 53,961,905,437.44/221,478.40
  6. Step 6: Final answer
    x = 243,644.10

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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.