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Finding the Fourth Proportional to 408,864.30, 613,296.45 and 209,118.30

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Solution

The fourth proportional to 408,864.30, 613,296.45 and 209,118.30 is: 313,677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,864.30 : 613,296.45 = 209,118.30 : x
  2. Step 2: Convert to fraction form
    408,864.30/613,296.45 = 209,118.30/x
  3. Step 3: Cross multiply
    408,864.30x = 613,296.45 × 209,118.30
  4. Step 4: Simplify right side
    408,864.30x = 128,251,511,020.04
  5. Step 5: Solve for x
    x = 128,251,511,020.04/408,864.30
  6. Step 6: Final answer
    x = 313,677.45

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Similar ratio
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1.5x scale

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.