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Finding the Fourth Proportional to 408,564.74, 613,129 and 142,327.46

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Solution

The fourth proportional to 408,564.74, 613,129 and 142,327.46 is: 213,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,564.74 : 613,129 = 142,327.46 : x
  2. Step 2: Convert to fraction form
    408,564.74/613,129 = 142,327.46/x
  3. Step 3: Cross multiply
    408,564.74x = 613,129 × 142,327.46
  4. Step 4: Simplify right side
    408,564.74x = 87,265,093,222.34
  5. Step 5: Solve for x
    x = 87,265,093,222.34/408,564.74
  6. Step 6: Final answer
    x = 213,589.39

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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.