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Finding the Fourth Proportional to 312,162.72, 468,386.24 and 132,297.44

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Solution

The fourth proportional to 312,162.72, 468,386.24 and 132,297.44 is: 198,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,162.72 : 468,386.24 = 132,297.44 : x
  2. Step 2: Convert to fraction form
    312,162.72/468,386.24 = 132,297.44/x
  3. Step 3: Cross multiply
    312,162.72x = 468,386.24 × 132,297.44
  4. Step 4: Simplify right side
    312,162.72x = 61,966,300,483.23
  5. Step 5: Solve for x
    x = 61,966,300,483.23/312,162.72
  6. Step 6: Final answer
    x = 198,506.41

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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.