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Finding the Fourth Proportional to 207,930.90, 311,313.15 and 202,098.90

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Solution

The fourth proportional to 207,930.90, 311,313.15 and 202,098.90 is: 302,581.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,930.90 : 311,313.15 = 202,098.90 : x
  2. Step 2: Convert to fraction form
    207,930.90/311,313.15 = 202,098.90/x
  3. Step 3: Cross multiply
    207,930.90x = 311,313.15 × 202,098.90
  4. Step 4: Simplify right side
    207,930.90x = 62,916,045,170.54
  5. Step 5: Solve for x
    x = 62,916,045,170.54/207,930.90
  6. Step 6: Final answer
    x = 302,581.51

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1.5x scale

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.