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Finding the Fourth Proportional to 275,794.67, 413,318.30 and 142,768.32

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Solution

The fourth proportional to 275,794.67, 413,318.30 and 142,768.32 is: 213,959.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,794.67 : 413,318.30 = 142,768.32 : x
  2. Step 2: Convert to fraction form
    275,794.67/413,318.30 = 142,768.32/x
  3. Step 3: Cross multiply
    275,794.67x = 413,318.30 × 142,768.32
  4. Step 4: Simplify right side
    275,794.67x = 59,008,759,377.39
  5. Step 5: Solve for x
    x = 59,008,759,377.39/275,794.67
  6. Step 6: Final answer
    x = 213,959.03

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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.