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Finding the Fourth Proportional to 215,978.40, 323,530.20 and 149,493.60

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Solution

The fourth proportional to 215,978.40, 323,530.20 and 149,493.60 is: 223,937.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,978.40 : 323,530.20 = 149,493.60 : x
  2. Step 2: Convert to fraction form
    215,978.40/323,530.20 = 149,493.60/x
  3. Step 3: Cross multiply
    215,978.40x = 323,530.20 × 149,493.60
  4. Step 4: Simplify right side
    215,978.40x = 48,365,694,306.72
  5. Step 5: Solve for x
    x = 48,365,694,306.72/215,978.40
  6. Step 6: Final answer
    x = 223,937.65

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1.5x scale

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.