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Finding the Fourth Proportional to 561,268.90, 842,235.36 and 206,531.92

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Solution

The fourth proportional to 561,268.90, 842,235.36 and 206,531.92 is: 309,920.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,268.90 : 842,235.36 = 206,531.92 : x
  2. Step 2: Convert to fraction form
    561,268.90/842,235.36 = 206,531.92/x
  3. Step 3: Cross multiply
    561,268.90x = 842,235.36 × 206,531.92
  4. Step 4: Simplify right side
    561,268.90x = 173,948,485,992.69
  5. Step 5: Solve for x
    x = 173,948,485,992.69/561,268.90
  6. Step 6: Final answer
    x = 309,920.05

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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.