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Finding the Fourth Proportional to 408,340.80, 611,344.80 and 314,251.20

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Solution

The fourth proportional to 408,340.80, 611,344.80 and 314,251.20 is: 470,479.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,340.80 : 611,344.80 = 314,251.20 : x
  2. Step 2: Convert to fraction form
    408,340.80/611,344.80 = 314,251.20/x
  3. Step 3: Cross multiply
    408,340.80x = 611,344.80 × 314,251.20
  4. Step 4: Simplify right side
    408,340.80x = 192,115,837,013.76
  5. Step 5: Solve for x
    x = 192,115,837,013.76/408,340.80
  6. Step 6: Final answer
    x = 470,479.16

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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.