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Finding the Fourth Proportional to 561,814.88, 842,806.44 and 206,801.84

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Solution

The fourth proportional to 561,814.88, 842,806.44 and 206,801.84 is: 310,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,814.88 : 842,806.44 = 206,801.84 : x
  2. Step 2: Convert to fraction form
    561,814.88/842,806.44 = 206,801.84/x
  3. Step 3: Cross multiply
    561,814.88x = 842,806.44 × 206,801.84
  4. Step 4: Simplify right side
    561,814.88x = 174,293,922,555.85
  5. Step 5: Solve for x
    x = 174,293,922,555.85/561,814.88
  6. Step 6: Final answer
    x = 310,233.72

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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.