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Finding the Fourth Proportional to 420,157.80, 629,711.10 and 209,854.44

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Solution

The fourth proportional to 420,157.80, 629,711.10 and 209,854.44 is: 314,519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,157.80 : 629,711.10 = 209,854.44 : x
  2. Step 2: Convert to fraction form
    420,157.80/629,711.10 = 209,854.44/x
  3. Step 3: Cross multiply
    420,157.80x = 629,711.10 × 209,854.44
  4. Step 4: Simplify right side
    420,157.80x = 132,147,670,252.28
  5. Step 5: Solve for x
    x = 132,147,670,252.28/420,157.80
  6. Step 6: Final answer
    x = 314,519.14

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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.