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Finding the Fourth Proportional to 408,790.56, 612,963.48 and 142,479.60

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Solution

The fourth proportional to 408,790.56, 612,963.48 and 142,479.60 is: 213,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,790.56 : 612,963.48 = 142,479.60 : x
  2. Step 2: Convert to fraction form
    408,790.56/612,963.48 = 142,479.60/x
  3. Step 3: Cross multiply
    408,790.56x = 612,963.48 × 142,479.60
  4. Step 4: Simplify right side
    408,790.56x = 87,334,791,445.01
  5. Step 5: Solve for x
    x = 87,334,791,445.01/408,790.56
  6. Step 6: Final answer
    x = 213,641.90

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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.