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Finding the Fourth Proportional to 1,299,799.80, 1,949,408.10 and 853,651.80

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Solution

The fourth proportional to 1,299,799.80, 1,949,408.10 and 853,651.80 is: 1,280,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,799.80 : 1,949,408.10 = 853,651.80 : x
  2. Step 2: Convert to fraction form
    1,299,799.80/1,949,408.10 = 853,651.80/x
  3. Step 3: Cross multiply
    1,299,799.80x = 1,949,408.10 × 853,651.80
  4. Step 4: Simplify right side
    1,299,799.80x = 1,664,115,733,499.58
  5. Step 5: Solve for x
    x = 1,664,115,733,499.58/1,299,799.80
  6. Step 6: Final answer
    x = 1,280,286.19

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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.