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Finding the Fourth Proportional to 642,286.64, 886,405.56 and 355,833.20

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Solution

The fourth proportional to 642,286.64, 886,405.56 and 355,833.20 is: 491,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,286.64 : 886,405.56 = 355,833.20 : x
  2. Step 2: Convert to fraction form
    642,286.64/886,405.56 = 355,833.20/x
  3. Step 3: Cross multiply
    642,286.64x = 886,405.56 × 355,833.20
  4. Step 4: Simplify right side
    642,286.64x = 315,412,526,912.59
  5. Step 5: Solve for x
    x = 315,412,526,912.59/642,286.64
  6. Step 6: Final answer
    x = 491,077.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.