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Finding the Fourth Proportional to 202,470.30, 303,705.45 and 143,372.70

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Solution

The fourth proportional to 202,470.30, 303,705.45 and 143,372.70 is: 215,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,470.30 : 303,705.45 = 143,372.70 : x
  2. Step 2: Convert to fraction form
    202,470.30/303,705.45 = 143,372.70/x
  3. Step 3: Cross multiply
    202,470.30x = 303,705.45 × 143,372.70
  4. Step 4: Simplify right side
    202,470.30x = 43,543,070,371.22
  5. Step 5: Solve for x
    x = 43,543,070,371.22/202,470.30
  6. Step 6: Final answer
    x = 215,059.05

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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.