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Finding the Fourth Proportional to 408,506.10, 612,758.82 and 124,198.92

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Solution

The fourth proportional to 408,506.10, 612,758.82 and 124,198.92 is: 186,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,506.10 : 612,758.82 = 124,198.92 : x
  2. Step 2: Convert to fraction form
    408,506.10/612,758.82 = 124,198.92/x
  3. Step 3: Cross multiply
    408,506.10x = 612,758.82 × 124,198.92
  4. Step 4: Simplify right side
    408,506.10x = 76,103,983,664.47
  5. Step 5: Solve for x
    x = 76,103,983,664.47/408,506.10
  6. Step 6: Final answer
    x = 186,298.28

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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.