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Finding the Fourth Proportional to 408,987.18, 613,761 and 142,747.71

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Solution

The fourth proportional to 408,987.18, 613,761 and 142,747.71 is: 214,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,987.18 : 613,761 = 142,747.71 : x
  2. Step 2: Convert to fraction form
    408,987.18/613,761 = 142,747.71/x
  3. Step 3: Cross multiply
    408,987.18x = 613,761 × 142,747.71
  4. Step 4: Simplify right side
    408,987.18x = 87,612,977,237.31
  5. Step 5: Solve for x
    x = 87,612,977,237.31/408,987.18
  6. Step 6: Final answer
    x = 214,219.37

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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.