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Finding the Fourth Proportional to 309,937.83, 464,845.47 and 85,240.26

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Solution

The fourth proportional to 309,937.83, 464,845.47 and 85,240.26 is: 127,843.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,937.83 : 464,845.47 = 85,240.26 : x
  2. Step 2: Convert to fraction form
    309,937.83/464,845.47 = 85,240.26/x
  3. Step 3: Cross multiply
    309,937.83x = 464,845.47 × 85,240.26
  4. Step 4: Simplify right side
    309,937.83x = 39,623,548,722.62
  5. Step 5: Solve for x
    x = 39,623,548,722.62/309,937.83
  6. Step 6: Final answer
    x = 127,843.54

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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.