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Finding the Fourth Proportional to 275,222.40, 412,910.40 and 134,985.60

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Solution

The fourth proportional to 275,222.40, 412,910.40 and 134,985.60 is: 202,516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,222.40 : 412,910.40 = 134,985.60 : x
  2. Step 2: Convert to fraction form
    275,222.40/412,910.40 = 134,985.60/x
  3. Step 3: Cross multiply
    275,222.40x = 412,910.40 × 134,985.60
  4. Step 4: Simplify right side
    275,222.40x = 55,736,958,090.24
  5. Step 5: Solve for x
    x = 55,736,958,090.24/275,222.40
  6. Step 6: Final answer
    x = 202,516.07

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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.