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Finding the Fourth Proportional to 561,987.80, 842,587.44 and 206,956.32

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Solution

The fourth proportional to 561,987.80, 842,587.44 and 206,956.32 is: 310,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,987.80 : 842,587.44 = 206,956.32 : x
  2. Step 2: Convert to fraction form
    561,987.80/842,587.44 = 206,956.32/x
  3. Step 3: Cross multiply
    561,987.80x = 842,587.44 × 206,956.32
  4. Step 4: Simplify right side
    561,987.80x = 174,378,795,860.62
  5. Step 5: Solve for x
    x = 174,378,795,860.62/561,987.80
  6. Step 6: Final answer
    x = 310,289.29

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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.