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Finding the Fourth Proportional to 202,470.30, 303,705.45 and 199,359.90

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Solution

The fourth proportional to 202,470.30, 303,705.45 and 199,359.90 is: 299,039.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,470.30 : 303,705.45 = 199,359.90 : x
  2. Step 2: Convert to fraction form
    202,470.30/303,705.45 = 199,359.90/x
  3. Step 3: Cross multiply
    202,470.30x = 303,705.45 × 199,359.90
  4. Step 4: Simplify right side
    202,470.30x = 60,546,688,141.46
  5. Step 5: Solve for x
    x = 60,546,688,141.46/202,470.30
  6. Step 6: Final answer
    x = 299,039.85

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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.