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Finding the Fourth Proportional to 320,058.20, 480,158.80 and 120,380.30

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Solution

The fourth proportional to 320,058.20, 480,158.80 and 120,380.30 is: 180,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,058.20 : 480,158.80 = 120,380.30 : x
  2. Step 2: Convert to fraction form
    320,058.20/480,158.80 = 120,380.30/x
  3. Step 3: Cross multiply
    320,058.20x = 480,158.80 × 120,380.30
  4. Step 4: Simplify right side
    320,058.20x = 57,801,660,391.64
  5. Step 5: Solve for x
    x = 57,801,660,391.64/320,058.20
  6. Step 6: Final answer
    x = 180,597.34

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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.