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Finding the Fourth Proportional to 408,880.32, 613,126.24 and 142,608.48

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Solution

The fourth proportional to 408,880.32, 613,126.24 and 142,608.48 is: 213,844.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,880.32 : 613,126.24 = 142,608.48 : x
  2. Step 2: Convert to fraction form
    408,880.32/613,126.24 = 142,608.48/x
  3. Step 3: Cross multiply
    408,880.32x = 613,126.24 × 142,608.48
  4. Step 4: Simplify right side
    408,880.32x = 87,437,001,134.52
  5. Step 5: Solve for x
    x = 87,437,001,134.52/408,880.32
  6. Step 6: Final answer
    x = 213,844.97

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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.