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Finding the Fourth Proportional to 309,701.82, 464,238.99 and 209,872.11

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Solution

The fourth proportional to 309,701.82, 464,238.99 and 209,872.11 is: 314,595.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,701.82 : 464,238.99 = 209,872.11 : x
  2. Step 2: Convert to fraction form
    309,701.82/464,238.99 = 209,872.11/x
  3. Step 3: Cross multiply
    309,701.82x = 464,238.99 × 209,872.11
  4. Step 4: Simplify right side
    309,701.82x = 97,430,816,375.57
  5. Step 5: Solve for x
    x = 97,430,816,375.57/309,701.82
  6. Step 6: Final answer
    x = 314,595.56

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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.