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Finding the Fourth Proportional to 408,436.80, 613,238.40 and 319,790.40

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Solution

The fourth proportional to 408,436.80, 613,238.40 and 319,790.40 is: 480,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,436.80 : 613,238.40 = 319,790.40 : x
  2. Step 2: Convert to fraction form
    408,436.80/613,238.40 = 319,790.40/x
  3. Step 3: Cross multiply
    408,436.80x = 613,238.40 × 319,790.40
  4. Step 4: Simplify right side
    408,436.80x = 196,107,753,231.36
  5. Step 5: Solve for x
    x = 196,107,753,231.36/408,436.80
  6. Step 6: Final answer
    x = 480,142.22

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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.