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Finding the Fourth Proportional to 408,864.78, 613,399.23 and 142,627.50

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Solution

The fourth proportional to 408,864.78, 613,399.23 and 142,627.50 is: 213,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,864.78 : 613,399.23 = 142,627.50 : x
  2. Step 2: Convert to fraction form
    408,864.78/613,399.23 = 142,627.50/x
  3. Step 3: Cross multiply
    408,864.78x = 613,399.23 × 142,627.50
  4. Step 4: Simplify right side
    408,864.78x = 87,487,598,676.83
  5. Step 5: Solve for x
    x = 87,487,598,676.83/408,864.78
  6. Step 6: Final answer
    x = 213,976.85

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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.