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Finding the Fourth Proportional to 309,911, 464,944.26 and 88,295

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Solution

The fourth proportional to 309,911, 464,944.26 and 88,295 is: 132,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,911 : 464,944.26 = 88,295 : x
  2. Step 2: Convert to fraction form
    309,911/464,944.26 = 88,295/x
  3. Step 3: Cross multiply
    309,911x = 464,944.26 × 88,295
  4. Step 4: Simplify right side
    309,911x = 41,052,253,436.70
  5. Step 5: Solve for x
    x = 41,052,253,436.70/309,911
  6. Step 6: Final answer
    x = 132,464.65

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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.