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Finding the Fourth Proportional to 561,872.85, 842,415.57 and 206,840.67

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Solution

The fourth proportional to 561,872.85, 842,415.57 and 206,840.67 is: 310,116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,872.85 : 842,415.57 = 206,840.67 : x
  2. Step 2: Convert to fraction form
    561,872.85/842,415.57 = 206,840.67/x
  3. Step 3: Cross multiply
    561,872.85x = 842,415.57 × 206,840.67
  4. Step 4: Simplify right side
    561,872.85x = 174,245,800,917.23
  5. Step 5: Solve for x
    x = 174,245,800,917.23/561,872.85
  6. Step 6: Final answer
    x = 310,116.07

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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.