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Finding the Fourth Proportional to 312,394.50, 468,609.93 and 87,772.44

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Solution

The fourth proportional to 312,394.50, 468,609.93 and 87,772.44 is: 131,663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,394.50 : 468,609.93 = 87,772.44 : x
  2. Step 2: Convert to fraction form
    312,394.50/468,609.93 = 87,772.44/x
  3. Step 3: Cross multiply
    312,394.50x = 468,609.93 × 87,772.44
  4. Step 4: Simplify right side
    312,394.50x = 41,131,036,964.33
  5. Step 5: Solve for x
    x = 41,131,036,964.33/312,394.50
  6. Step 6: Final answer
    x = 131,663.77

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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.