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Finding the Fourth Proportional to 1,299,742.82, 1,948,863.80 and 400,943.24

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Solution

The fourth proportional to 1,299,742.82, 1,948,863.80 and 400,943.24 is: 601,183.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,742.82 : 1,948,863.80 = 400,943.24 : x
  2. Step 2: Convert to fraction form
    1,299,742.82/1,948,863.80 = 400,943.24/x
  3. Step 3: Cross multiply
    1,299,742.82x = 1,948,863.80 × 400,943.24
  4. Step 4: Simplify right side
    1,299,742.82x = 781,383,757,548.75
  5. Step 5: Solve for x
    x = 781,383,757,548.75/1,299,742.82
  6. Step 6: Final answer
    x = 601,183.36

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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.