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Finding the Fourth Proportional to 563,022.26, 842,414.52 and 394,870.78

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Solution

The fourth proportional to 563,022.26, 842,414.52 and 394,870.78 is: 590,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,022.26 : 842,414.52 = 394,870.78 : x
  2. Step 2: Convert to fraction form
    563,022.26/842,414.52 = 394,870.78/x
  3. Step 3: Cross multiply
    563,022.26x = 842,414.52 × 394,870.78
  4. Step 4: Simplify right side
    563,022.26x = 332,644,874,383.65
  5. Step 5: Solve for x
    x = 332,644,874,383.65/563,022.26
  6. Step 6: Final answer
    x = 590,820.12

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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.