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Finding the Fourth Proportional to 408,968.10, 613,452.15 and 231,821.10

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Solution

The fourth proportional to 408,968.10, 613,452.15 and 231,821.10 is: 347,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,968.10 : 613,452.15 = 231,821.10 : x
  2. Step 2: Convert to fraction form
    408,968.10/613,452.15 = 231,821.10/x
  3. Step 3: Cross multiply
    408,968.10x = 613,452.15 × 231,821.10
  4. Step 4: Simplify right side
    408,968.10x = 142,211,152,210.37
  5. Step 5: Solve for x
    x = 142,211,152,210.37/408,968.10
  6. Step 6: Final answer
    x = 347,731.65

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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.