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Finding the Fourth Proportional to 420,184.80, 629,751.60 and 209,881.44

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Solution

The fourth proportional to 420,184.80, 629,751.60 and 209,881.44 is: 314,559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,184.80 : 629,751.60 = 209,881.44 : x
  2. Step 2: Convert to fraction form
    420,184.80/629,751.60 = 209,881.44/x
  3. Step 3: Cross multiply
    420,184.80x = 629,751.60 × 209,881.44
  4. Step 4: Simplify right side
    420,184.80x = 132,173,172,650.30
  5. Step 5: Solve for x
    x = 132,173,172,650.30/420,184.80
  6. Step 6: Final answer
    x = 314,559.62

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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.