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Finding the Fourth Proportional to 408,844.60, 613,266.90 and 142,516.60

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Solution

The fourth proportional to 408,844.60, 613,266.90 and 142,516.60 is: 213,774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,844.60 : 613,266.90 = 142,516.60 : x
  2. Step 2: Convert to fraction form
    408,844.60/613,266.90 = 142,516.60/x
  3. Step 3: Cross multiply
    408,844.60x = 613,266.90 × 142,516.60
  4. Step 4: Simplify right side
    408,844.60x = 87,400,713,480.54
  5. Step 5: Solve for x
    x = 87,400,713,480.54/408,844.60
  6. Step 6: Final answer
    x = 213,774.90

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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.