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Finding the Fourth Proportional to 312,243, 468,364.50 and 115,251

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Solution

The fourth proportional to 312,243, 468,364.50 and 115,251 is: 172,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,243 : 468,364.50 = 115,251 : x
  2. Step 2: Convert to fraction form
    312,243/468,364.50 = 115,251/x
  3. Step 3: Cross multiply
    312,243x = 468,364.50 × 115,251
  4. Step 4: Simplify right side
    312,243x = 53,979,476,989.50
  5. Step 5: Solve for x
    x = 53,979,476,989.50/312,243
  6. Step 6: Final answer
    x = 172,876.50

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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.