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Finding the Fourth Proportional to 490,909.22, 735,182.84 and 279,907.46

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Solution

The fourth proportional to 490,909.22, 735,182.84 and 279,907.46 is: 419,187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,909.22 : 735,182.84 = 279,907.46 : x
  2. Step 2: Convert to fraction form
    490,909.22/735,182.84 = 279,907.46/x
  3. Step 3: Cross multiply
    490,909.22x = 735,182.84 × 279,907.46
  4. Step 4: Simplify right side
    490,909.22x = 205,783,161,379.99
  5. Step 5: Solve for x
    x = 205,783,161,379.99/490,909.22
  6. Step 6: Final answer
    x = 419,187.81

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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.