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Finding the Fourth Proportional to 259,738.80, 389,658.42 and 99,802.68

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Solution

The fourth proportional to 259,738.80, 389,658.42 and 99,802.68 is: 149,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,738.80 : 389,658.42 = 99,802.68 : x
  2. Step 2: Convert to fraction form
    259,738.80/389,658.42 = 99,802.68/x
  3. Step 3: Cross multiply
    259,738.80x = 389,658.42 × 99,802.68
  4. Step 4: Simplify right side
    259,738.80x = 38,888,954,600.57
  5. Step 5: Solve for x
    x = 38,888,954,600.57/259,738.80
  6. Step 6: Final answer
    x = 149,723.32

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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.