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Finding the Fourth Proportional to 312,281.73, 468,429.89 and 143,942.87

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Solution

The fourth proportional to 312,281.73, 468,429.89 and 143,942.87 is: 215,917.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,281.73 : 468,429.89 = 143,942.87 : x
  2. Step 2: Convert to fraction form
    312,281.73/468,429.89 = 143,942.87/x
  3. Step 3: Cross multiply
    312,281.73x = 468,429.89 × 143,942.87
  4. Step 4: Simplify right side
    312,281.73x = 67,427,143,211.74
  5. Step 5: Solve for x
    x = 67,427,143,211.74/312,281.73
  6. Step 6: Final answer
    x = 215,917.67

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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.