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Finding the Fourth Proportional to 490,643.56, 735,989.10 and 135,649.72

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Solution

The fourth proportional to 490,643.56, 735,989.10 and 135,649.72 is: 203,481.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,643.56 : 735,989.10 = 135,649.72 : x
  2. Step 2: Convert to fraction form
    490,643.56/735,989.10 = 135,649.72/x
  3. Step 3: Cross multiply
    490,643.56x = 735,989.10 × 135,649.72
  4. Step 4: Simplify right side
    490,643.56x = 99,836,715,338.05
  5. Step 5: Solve for x
    x = 99,836,715,338.05/490,643.56
  6. Step 6: Final answer
    x = 203,481.15

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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.