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Finding the Fourth Proportional to 327,095.70, 490,643.55 and 140,126.10

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Solution

The fourth proportional to 327,095.70, 490,643.55 and 140,126.10 is: 210,189.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,095.70 : 490,643.55 = 140,126.10 : x
  2. Step 2: Convert to fraction form
    327,095.70/490,643.55 = 140,126.10/x
  3. Step 3: Cross multiply
    327,095.70x = 490,643.55 × 140,126.10
  4. Step 4: Simplify right side
    327,095.70x = 68,751,967,151.66
  5. Step 5: Solve for x
    x = 68,751,967,151.66/327,095.70
  6. Step 6: Final answer
    x = 210,189.15

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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.