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Finding the Fourth Proportional to 1,299,742.32, 1,948,863.05 and 400,942.73

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Solution

The fourth proportional to 1,299,742.32, 1,948,863.05 and 400,942.73 is: 601,182.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,742.32 : 1,948,863.05 = 400,942.73 : x
  2. Step 2: Convert to fraction form
    1,299,742.32/1,948,863.05 = 400,942.73/x
  3. Step 3: Cross multiply
    1,299,742.32x = 1,948,863.05 × 400,942.73
  4. Step 4: Simplify right side
    1,299,742.32x = 781,382,471,663.13
  5. Step 5: Solve for x
    x = 781,382,471,663.13/1,299,742.32
  6. Step 6: Final answer
    x = 601,182.60

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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.