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Finding the Fourth Proportional to 842,048, 1,263,694.08 and 398,816

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Solution

The fourth proportional to 842,048, 1,263,694.08 and 398,816 is: 598,518.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,048 : 1,263,694.08 = 398,816 : x
  2. Step 2: Convert to fraction form
    842,048/1,263,694.08 = 398,816/x
  3. Step 3: Cross multiply
    842,048x = 1,263,694.08 × 398,816
  4. Step 4: Simplify right side
    842,048x = 503,981,418,209.28
  5. Step 5: Solve for x
    x = 503,981,418,209.28/842,048
  6. Step 6: Final answer
    x = 598,518.63

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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.