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Finding the Fourth Proportional to 408,053.10, 612,079.65 and 221,429.10

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Solution

The fourth proportional to 408,053.10, 612,079.65 and 221,429.10 is: 332,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,053.10 : 612,079.65 = 221,429.10 : x
  2. Step 2: Convert to fraction form
    408,053.10/612,079.65 = 221,429.10/x
  3. Step 3: Cross multiply
    408,053.10x = 612,079.65 × 221,429.10
  4. Step 4: Simplify right side
    408,053.10x = 135,532,246,027.82
  5. Step 5: Solve for x
    x = 135,532,246,027.82/408,053.10
  6. Step 6: Final answer
    x = 332,143.65

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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.