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Finding the Fourth Proportional to 203,960.80, 305,941.20 and 173,780.20

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Solution

The fourth proportional to 203,960.80, 305,941.20 and 173,780.20 is: 260,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,960.80 : 305,941.20 = 173,780.20 : x
  2. Step 2: Convert to fraction form
    203,960.80/305,941.20 = 173,780.20/x
  3. Step 3: Cross multiply
    203,960.80x = 305,941.20 × 173,780.20
  4. Step 4: Simplify right side
    203,960.80x = 53,166,522,924.24
  5. Step 5: Solve for x
    x = 53,166,522,924.24/203,960.80
  6. Step 6: Final answer
    x = 260,670.30

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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.