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Finding the Fourth Proportional to 408,839.40, 613,623.60 and 240,148.80

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Solution

The fourth proportional to 408,839.40, 613,623.60 and 240,148.80 is: 360,437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,839.40 : 613,623.60 = 240,148.80 : x
  2. Step 2: Convert to fraction form
    408,839.40/613,623.60 = 240,148.80/x
  3. Step 3: Cross multiply
    408,839.40x = 613,623.60 × 240,148.80
  4. Step 4: Simplify right side
    408,839.40x = 147,360,971,191.68
  5. Step 5: Solve for x
    x = 147,360,971,191.68/408,839.40
  6. Step 6: Final answer
    x = 360,437.30

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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.