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Finding the Fourth Proportional to 378,681.68, 522,562.48 and 206,589.40

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Solution

The fourth proportional to 378,681.68, 522,562.48 and 206,589.40 is: 285,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,681.68 : 522,562.48 = 206,589.40 : x
  2. Step 2: Convert to fraction form
    378,681.68/522,562.48 = 206,589.40/x
  3. Step 3: Cross multiply
    378,681.68x = 522,562.48 × 206,589.40
  4. Step 4: Simplify right side
    378,681.68x = 107,955,869,205.71
  5. Step 5: Solve for x
    x = 107,955,869,205.71/378,681.68
  6. Step 6: Final answer
    x = 285,083.42

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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.