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Finding the Fourth Proportional to 408,719.21, 613,082.25 and 142,479.23

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Solution

The fourth proportional to 408,719.21, 613,082.25 and 142,479.23 is: 213,720.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,719.21 : 613,082.25 = 142,479.23 : x
  2. Step 2: Convert to fraction form
    408,719.21/613,082.25 = 142,479.23/x
  3. Step 3: Cross multiply
    408,719.21x = 613,082.25 × 142,479.23
  4. Step 4: Simplify right side
    408,719.21x = 87,351,483,841.26
  5. Step 5: Solve for x
    x = 87,351,483,841.26/408,719.21
  6. Step 6: Final answer
    x = 213,720.04

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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.