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Finding the Fourth Proportional to 207,960.40, 311,998.20 and 137,976.40

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Solution

The fourth proportional to 207,960.40, 311,998.20 and 137,976.40 is: 207,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,960.40 : 311,998.20 = 137,976.40 : x
  2. Step 2: Convert to fraction form
    207,960.40/311,998.20 = 137,976.40/x
  3. Step 3: Cross multiply
    207,960.40x = 311,998.20 × 137,976.40
  4. Step 4: Simplify right side
    207,960.40x = 43,048,388,442.48
  5. Step 5: Solve for x
    x = 43,048,388,442.48/207,960.40
  6. Step 6: Final answer
    x = 207,002.82

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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.