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Finding the Fourth Proportional to 1,398,742.64, 1,930,267.79 and 825,819.71

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Solution

The fourth proportional to 1,398,742.64, 1,930,267.79 and 825,819.71 is: 1,139,632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,742.64 : 1,930,267.79 = 825,819.71 : x
  2. Step 2: Convert to fraction form
    1,398,742.64/1,930,267.79 = 825,819.71/x
  3. Step 3: Cross multiply
    1,398,742.64x = 1,930,267.79 × 825,819.71
  4. Step 4: Simplify right side
    1,398,742.64x = 1,594,053,193,450.36
  5. Step 5: Solve for x
    x = 1,594,053,193,450.36/1,398,742.64
  6. Step 6: Final answer
    x = 1,139,632.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.