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Finding the Fourth Proportional to 408,063.60, 612,095.40 and 221,439.60

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Solution

The fourth proportional to 408,063.60, 612,095.40 and 221,439.60 is: 332,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,063.60 : 612,095.40 = 221,439.60 : x
  2. Step 2: Convert to fraction form
    408,063.60/612,095.40 = 221,439.60/x
  3. Step 3: Cross multiply
    408,063.60x = 612,095.40 × 221,439.60
  4. Step 4: Simplify right side
    408,063.60x = 135,542,160,537.84
  5. Step 5: Solve for x
    x = 135,542,160,537.84/408,063.60
  6. Step 6: Final answer
    x = 332,159.40

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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.