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Finding the Fourth Proportional to 210,751.20, 315,470.70 and 204,190.20

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Solution

The fourth proportional to 210,751.20, 315,470.70 and 204,190.20 is: 305,649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,751.20 : 315,470.70 = 204,190.20 : x
  2. Step 2: Convert to fraction form
    210,751.20/315,470.70 = 204,190.20/x
  3. Step 3: Cross multiply
    210,751.20x = 315,470.70 × 204,190.20
  4. Step 4: Simplify right side
    210,751.20x = 64,416,025,327.14
  5. Step 5: Solve for x
    x = 64,416,025,327.14/210,751.20
  6. Step 6: Final answer
    x = 305,649.63

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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.