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Finding the Fourth Proportional to 490,902.72, 735,173.10 and 279,900.96

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Solution

The fourth proportional to 490,902.72, 735,173.10 and 279,900.96 is: 419,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,902.72 : 735,173.10 = 279,900.96 : x
  2. Step 2: Convert to fraction form
    490,902.72/735,173.10 = 279,900.96/x
  3. Step 3: Cross multiply
    490,902.72x = 735,173.10 × 279,900.96
  4. Step 4: Simplify right side
    490,902.72x = 205,775,656,456.18
  5. Step 5: Solve for x
    x = 205,775,656,456.18/490,902.72
  6. Step 6: Final answer
    x = 419,178.07

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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.