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Finding the Fourth Proportional to 408,952.20, 613,428.30 and 231,805.20

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Solution

The fourth proportional to 408,952.20, 613,428.30 and 231,805.20 is: 347,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,952.20 : 613,428.30 = 231,805.20 : x
  2. Step 2: Convert to fraction form
    408,952.20/613,428.30 = 231,805.20/x
  3. Step 3: Cross multiply
    408,952.20x = 613,428.30 × 231,805.20
  4. Step 4: Simplify right side
    408,952.20x = 142,195,869,767.16
  5. Step 5: Solve for x
    x = 142,195,869,767.16/408,952.20
  6. Step 6: Final answer
    x = 347,707.80

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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.