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Finding the Fourth Proportional to 561,154.74, 842,067.45 and 206,204.64

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Solution

The fourth proportional to 561,154.74, 842,067.45 and 206,204.64 is: 309,430.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,154.74 : 842,067.45 = 206,204.64 : x
  2. Step 2: Convert to fraction form
    561,154.74/842,067.45 = 206,204.64/x
  3. Step 3: Cross multiply
    561,154.74x = 842,067.45 × 206,204.64
  4. Step 4: Simplify right side
    561,154.74x = 173,638,215,382.97
  5. Step 5: Solve for x
    x = 173,638,215,382.97/561,154.74
  6. Step 6: Final answer
    x = 309,430.19

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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.