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Finding the Fourth Proportional to 307,286.75, 424,054.19 and 178,251.32

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Solution

The fourth proportional to 307,286.75, 424,054.19 and 178,251.32 is: 245,985.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,286.75 : 424,054.19 = 178,251.32 : x
  2. Step 2: Convert to fraction form
    307,286.75/424,054.19 = 178,251.32/x
  3. Step 3: Cross multiply
    307,286.75x = 424,054.19 × 178,251.32
  4. Step 4: Simplify right side
    307,286.75x = 75,588,220,624.79
  5. Step 5: Solve for x
    x = 75,588,220,624.79/307,286.75
  6. Step 6: Final answer
    x = 245,985.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.