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Finding the Fourth Proportional to 1,299,727.80, 1,949,591.70 and 984,799.80

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Solution

The fourth proportional to 1,299,727.80, 1,949,591.70 and 984,799.80 is: 1,477,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,727.80 : 1,949,591.70 = 984,799.80 : x
  2. Step 2: Convert to fraction form
    1,299,727.80/1,949,591.70 = 984,799.80/x
  3. Step 3: Cross multiply
    1,299,727.80x = 1,949,591.70 × 984,799.80
  4. Step 4: Simplify right side
    1,299,727.80x = 1,919,957,516,241.66
  5. Step 5: Solve for x
    x = 1,919,957,516,241.66/1,299,727.80
  6. Step 6: Final answer
    x = 1,477,199.70

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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.