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Finding the Fourth Proportional to 490,910.22, 735,184.34 and 279,908.46

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Solution

The fourth proportional to 490,910.22, 735,184.34 and 279,908.46 is: 419,189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,910.22 : 735,184.34 = 279,908.46 : x
  2. Step 2: Convert to fraction form
    490,910.22/735,184.34 = 279,908.46/x
  3. Step 3: Cross multiply
    490,910.22x = 735,184.34 × 279,908.46
  4. Step 4: Simplify right side
    490,910.22x = 205,784,316,425.52
  5. Step 5: Solve for x
    x = 205,784,316,425.52/490,910.22
  6. Step 6: Final answer
    x = 419,189.31

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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.