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Finding the Fourth Proportional to 270,758.22, 406,510.02 and 137,728.50

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Solution

The fourth proportional to 270,758.22, 406,510.02 and 137,728.50 is: 206,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,758.22 : 406,510.02 = 137,728.50 : x
  2. Step 2: Convert to fraction form
    270,758.22/406,510.02 = 137,728.50/x
  3. Step 3: Cross multiply
    270,758.22x = 406,510.02 × 137,728.50
  4. Step 4: Simplify right side
    270,758.22x = 55,988,015,289.57
  5. Step 5: Solve for x
    x = 55,988,015,289.57/270,758.22
  6. Step 6: Final answer
    x = 206,782.33

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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.