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Finding the Fourth Proportional to 561,937.80, 842,906.70 and 206,878.35

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Solution

The fourth proportional to 561,937.80, 842,906.70 and 206,878.35 is: 310,317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,937.80 : 842,906.70 = 206,878.35 : x
  2. Step 2: Convert to fraction form
    561,937.80/842,906.70 = 206,878.35/x
  3. Step 3: Cross multiply
    561,937.80x = 842,906.70 × 206,878.35
  4. Step 4: Simplify right side
    561,937.80x = 174,379,147,299.95
  5. Step 5: Solve for x
    x = 174,379,147,299.95/561,937.80
  6. Step 6: Final answer
    x = 310,317.53

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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.