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Finding the Fourth Proportional to 264,238, 396,357 and 77,249.50

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Solution

The fourth proportional to 264,238, 396,357 and 77,249.50 is: 115,874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,238 : 396,357 = 77,249.50 : x
  2. Step 2: Convert to fraction form
    264,238/396,357 = 77,249.50/x
  3. Step 3: Cross multiply
    264,238x = 396,357 × 77,249.50
  4. Step 4: Simplify right side
    264,238x = 30,618,380,071.50
  5. Step 5: Solve for x
    x = 30,618,380,071.50/264,238
  6. Step 6: Final answer
    x = 115,874.25

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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.