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Finding the Fourth Proportional to 1,289,944.80, 1,930,706.80 and 948,297.78

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Solution

The fourth proportional to 1,289,944.80, 1,930,706.80 and 948,297.78 is: 1,419,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,944.80 : 1,930,706.80 = 948,297.78 : x
  2. Step 2: Convert to fraction form
    1,289,944.80/1,930,706.80 = 948,297.78/x
  3. Step 3: Cross multiply
    1,289,944.80x = 1,930,706.80 × 948,297.78
  4. Step 4: Simplify right side
    1,289,944.80x = 1,830,884,981,881.80
  5. Step 5: Solve for x
    x = 1,830,884,981,881.80/1,289,944.80
  6. Step 6: Final answer
    x = 1,419,351.42

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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.