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Finding the Fourth Proportional to 275,232, 412,917.36 and 78,240

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Solution

The fourth proportional to 275,232, 412,917.36 and 78,240 is: 117,379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,232 : 412,917.36 = 78,240 : x
  2. Step 2: Convert to fraction form
    275,232/412,917.36 = 78,240/x
  3. Step 3: Cross multiply
    275,232x = 412,917.36 × 78,240
  4. Step 4: Simplify right side
    275,232x = 32,306,654,246.40
  5. Step 5: Solve for x
    x = 32,306,654,246.40/275,232
  6. Step 6: Final answer
    x = 117,379.72

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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.