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Finding the Fourth Proportional to 1,310,738.28, 1,966,177.46 and 412,250.05

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Solution

The fourth proportional to 1,310,738.28, 1,966,177.46 and 412,250.05 is: 618,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,738.28 : 1,966,177.46 = 412,250.05 : x
  2. Step 2: Convert to fraction form
    1,310,738.28/1,966,177.46 = 412,250.05/x
  3. Step 3: Cross multiply
    1,310,738.28x = 1,966,177.46 × 412,250.05
  4. Step 4: Simplify right side
    1,310,738.28x = 810,556,756,193.87
  5. Step 5: Solve for x
    x = 810,556,756,193.87/1,310,738.28
  6. Step 6: Final answer
    x = 618,397.10

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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.