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Finding the Fourth Proportional to 203,401.80, 305,758.80 and 144,644.40

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Solution

The fourth proportional to 203,401.80, 305,758.80 and 144,644.40 is: 217,433.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,401.80 : 305,758.80 = 144,644.40 : x
  2. Step 2: Convert to fraction form
    203,401.80/305,758.80 = 144,644.40/x
  3. Step 3: Cross multiply
    203,401.80x = 305,758.80 × 144,644.40
  4. Step 4: Simplify right side
    203,401.80x = 44,226,298,170.72
  5. Step 5: Solve for x
    x = 44,226,298,170.72/203,401.80
  6. Step 6: Final answer
    x = 217,433.17

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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.