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Finding the Fourth Proportional to 408,052.20, 612,078.30 and 380,058.60

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Solution

The fourth proportional to 408,052.20, 612,078.30 and 380,058.60 is: 570,087.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,052.20 : 612,078.30 = 380,058.60 : x
  2. Step 2: Convert to fraction form
    408,052.20/612,078.30 = 380,058.60/x
  3. Step 3: Cross multiply
    408,052.20x = 612,078.30 × 380,058.60
  4. Step 4: Simplify right side
    408,052.20x = 232,625,621,788.38
  5. Step 5: Solve for x
    x = 232,625,621,788.38/408,052.20
  6. Step 6: Final answer
    x = 570,087.90

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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.