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Finding the Fourth Proportional to 327,075.80, 490,832.40 and 149,491.40

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Solution

The fourth proportional to 327,075.80, 490,832.40 and 149,491.40 is: 224,337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,075.80 : 490,832.40 = 149,491.40 : x
  2. Step 2: Convert to fraction form
    327,075.80/490,832.40 = 149,491.40/x
  3. Step 3: Cross multiply
    327,075.80x = 490,832.40 × 149,491.40
  4. Step 4: Simplify right side
    327,075.80x = 73,375,222,641.36
  5. Step 5: Solve for x
    x = 73,375,222,641.36/327,075.80
  6. Step 6: Final answer
    x = 224,337.06

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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.