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Finding the Fourth Proportional to 585,840, 878,760.18 and 142,608

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Solution

The fourth proportional to 585,840, 878,760.18 and 142,608 is: 213,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,840 : 878,760.18 = 142,608 : x
  2. Step 2: Convert to fraction form
    585,840/878,760.18 = 142,608/x
  3. Step 3: Cross multiply
    585,840x = 878,760.18 × 142,608
  4. Step 4: Simplify right side
    585,840x = 125,318,231,749.44
  5. Step 5: Solve for x
    x = 125,318,231,749.44/585,840
  6. Step 6: Final answer
    x = 213,912.04

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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.