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Finding the Fourth Proportional to 309,402.39, 464,103.99 and 84,764.80

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Solution

The fourth proportional to 309,402.39, 464,103.99 and 84,764.80 is: 127,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,402.39 : 464,103.99 = 84,764.80 : x
  2. Step 2: Convert to fraction form
    309,402.39/464,103.99 = 84,764.80/x
  3. Step 3: Cross multiply
    309,402.39x = 464,103.99 × 84,764.80
  4. Step 4: Simplify right side
    309,402.39x = 39,339,681,891.55
  5. Step 5: Solve for x
    x = 39,339,681,891.55/309,402.39
  6. Step 6: Final answer
    x = 127,147.31

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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.