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Finding the Fourth Proportional to 265,195.46, 397,830.47 and 85,220.54

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Solution

The fourth proportional to 265,195.46, 397,830.47 and 85,220.54 is: 127,842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,195.46 : 397,830.47 = 85,220.54 : x
  2. Step 2: Convert to fraction form
    265,195.46/397,830.47 = 85,220.54/x
  3. Step 3: Cross multiply
    265,195.46x = 397,830.47 × 85,220.54
  4. Step 4: Simplify right side
    265,195.46x = 33,903,325,066.60
  5. Step 5: Solve for x
    x = 33,903,325,066.60/265,195.46
  6. Step 6: Final answer
    x = 127,842.78

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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.