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Finding the Fourth Proportional to 275,224.64, 412,828.32 and 78,232.64

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Solution

The fourth proportional to 275,224.64, 412,828.32 and 78,232.64 is: 117,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,224.64 : 412,828.32 = 78,232.64 : x
  2. Step 2: Convert to fraction form
    275,224.64/412,828.32 = 78,232.64/x
  3. Step 3: Cross multiply
    275,224.64x = 412,828.32 × 78,232.64
  4. Step 4: Simplify right side
    275,224.64x = 32,296,649,340.36
  5. Step 5: Solve for x
    x = 32,296,649,340.36/275,224.64
  6. Step 6: Final answer
    x = 117,346.50

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1.5x scale

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.