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Finding the Fourth Proportional to 408,252.45, 612,392.50 and 142,015.28

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Solution

The fourth proportional to 408,252.45, 612,392.50 and 142,015.28 is: 213,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,252.45 : 612,392.50 = 142,015.28 : x
  2. Step 2: Convert to fraction form
    408,252.45/612,392.50 = 142,015.28/x
  3. Step 3: Cross multiply
    408,252.45x = 612,392.50 × 142,015.28
  4. Step 4: Simplify right side
    408,252.45x = 86,969,089,472.96
  5. Step 5: Solve for x
    x = 86,969,089,472.96/408,252.45
  6. Step 6: Final answer
    x = 213,027.72

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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.