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Finding the Fourth Proportional to 312,242, 468,363 and 115,250

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Solution

The fourth proportional to 312,242, 468,363 and 115,250 is: 172,875

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,242 : 468,363 = 115,250 : x
  2. Step 2: Convert to fraction form
    312,242/468,363 = 115,250/x
  3. Step 3: Cross multiply
    312,242x = 468,363 × 115,250
  4. Step 4: Simplify right side
    312,242x = 53,978,835,750
  5. Step 5: Solve for x
    x = 53,978,835,750/312,242
  6. Step 6: Final answer
    x = 172,875

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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.