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Finding the Fourth Proportional to 312,187.71, 468,228.74 and 87,496.45

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Solution

The fourth proportional to 312,187.71, 468,228.74 and 87,496.45 is: 131,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,187.71 : 468,228.74 = 87,496.45 : x
  2. Step 2: Convert to fraction form
    312,187.71/468,228.74 = 87,496.45/x
  3. Step 3: Cross multiply
    312,187.71x = 468,228.74 × 87,496.45
  4. Step 4: Simplify right side
    312,187.71x = 40,968,351,586.14
  5. Step 5: Solve for x
    x = 40,968,351,586.14/312,187.71
  6. Step 6: Final answer
    x = 131,229.87

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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.