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Finding the Fourth Proportional to 309,393, 464,167.26 and 87,777

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Solution

The fourth proportional to 309,393, 464,167.26 and 87,777 is: 131,687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,393 : 464,167.26 = 87,777 : x
  2. Step 2: Convert to fraction form
    309,393/464,167.26 = 87,777/x
  3. Step 3: Cross multiply
    309,393x = 464,167.26 × 87,777
  4. Step 4: Simplify right side
    309,393x = 40,743,209,581.02
  5. Step 5: Solve for x
    x = 40,743,209,581.02/309,393
  6. Step 6: Final answer
    x = 131,687.56

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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.