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Finding the Fourth Proportional to 561,998.87, 842,604.03 and 206,967.36

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Solution

The fourth proportional to 561,998.87, 842,604.03 and 206,967.36 is: 310,305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,998.87 : 842,604.03 = 206,967.36 : x
  2. Step 2: Convert to fraction form
    561,998.87/842,604.03 = 206,967.36/x
  3. Step 3: Cross multiply
    561,998.87x = 842,604.03 × 206,967.36
  4. Step 4: Simplify right side
    561,998.87x = 174,391,531,614.46
  5. Step 5: Solve for x
    x = 174,391,531,614.46/561,998.87
  6. Step 6: Final answer
    x = 310,305.84

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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.