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Finding the Fourth Proportional to 408,784.56, 612,954.48 and 142,473.60

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Solution

The fourth proportional to 408,784.56, 612,954.48 and 142,473.60 is: 213,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,784.56 : 612,954.48 = 142,473.60 : x
  2. Step 2: Convert to fraction form
    408,784.56/612,954.48 = 142,473.60/x
  3. Step 3: Cross multiply
    408,784.56x = 612,954.48 × 142,473.60
  4. Step 4: Simplify right side
    408,784.56x = 87,329,831,401.73
  5. Step 5: Solve for x
    x = 87,329,831,401.73/408,784.56
  6. Step 6: Final answer
    x = 213,632.90

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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.