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Finding the Fourth Proportional to 408,027.70, 611,312.55 and 197,200.90

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Solution

The fourth proportional to 408,027.70, 611,312.55 and 197,200.90 is: 295,449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,027.70 : 611,312.55 = 197,200.90 : x
  2. Step 2: Convert to fraction form
    408,027.70/611,312.55 = 197,200.90/x
  3. Step 3: Cross multiply
    408,027.70x = 611,312.55 × 197,200.90
  4. Step 4: Simplify right side
    408,027.70x = 120,551,385,041.30
  5. Step 5: Solve for x
    x = 120,551,385,041.30/408,027.70
  6. Step 6: Final answer
    x = 295,449.02

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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.