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Finding the Fourth Proportional to 408,043.90, 612,065.85 and 404,107.30

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Solution

The fourth proportional to 408,043.90, 612,065.85 and 404,107.30 is: 606,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,043.90 : 612,065.85 = 404,107.30 : x
  2. Step 2: Convert to fraction form
    408,043.90/612,065.85 = 404,107.30/x
  3. Step 3: Cross multiply
    408,043.90x = 612,065.85 × 404,107.30
  4. Step 4: Simplify right side
    408,043.90x = 247,340,278,065.71
  5. Step 5: Solve for x
    x = 247,340,278,065.71/408,043.90
  6. Step 6: Final answer
    x = 606,160.95

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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.