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Finding the Fourth Proportional to 209,399.82, 288,990.48 and 123,359.59

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Solution

The fourth proportional to 209,399.82, 288,990.48 and 123,359.59 is: 170,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,399.82 : 288,990.48 = 123,359.59 : x
  2. Step 2: Convert to fraction form
    209,399.82/288,990.48 = 123,359.59/x
  3. Step 3: Cross multiply
    209,399.82x = 288,990.48 × 123,359.59
  4. Step 4: Simplify right side
    209,399.82x = 35,649,747,126.70
  5. Step 5: Solve for x
    x = 35,649,747,126.70/209,399.82
  6. Step 6: Final answer
    x = 170,247.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.