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Finding the Fourth Proportional to 420,199.80, 629,774.10 and 209,896.44

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Solution

The fourth proportional to 420,199.80, 629,774.10 and 209,896.44 is: 314,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,199.80 : 629,774.10 = 209,896.44 : x
  2. Step 2: Convert to fraction form
    420,199.80/629,774.10 = 209,896.44/x
  3. Step 3: Cross multiply
    420,199.80x = 629,774.10 × 209,896.44
  4. Step 4: Simplify right side
    420,199.80x = 132,187,341,594.20
  5. Step 5: Solve for x
    x = 132,187,341,594.20/420,199.80
  6. Step 6: Final answer
    x = 314,582.11

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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.