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Finding the Fourth Proportional to 312,902.28, 469,368 and 91,286.28

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Solution

The fourth proportional to 312,902.28, 469,368 and 91,286.28 is: 136,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,902.28 : 469,368 = 91,286.28 : x
  2. Step 2: Convert to fraction form
    312,902.28/469,368 = 91,286.28/x
  3. Step 3: Cross multiply
    312,902.28x = 469,368 × 91,286.28
  4. Step 4: Simplify right side
    312,902.28x = 42,846,858,671.04
  5. Step 5: Solve for x
    x = 42,846,858,671.04/312,902.28
  6. Step 6: Final answer
    x = 136,933.67

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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.