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Finding the Fourth Proportional to 285,901.28, 428,793.60 and 108,347.12

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Solution

The fourth proportional to 285,901.28, 428,793.60 and 108,347.12 is: 162,498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,901.28 : 428,793.60 = 108,347.12 : x
  2. Step 2: Convert to fraction form
    285,901.28/428,793.60 = 108,347.12/x
  3. Step 3: Cross multiply
    285,901.28x = 428,793.60 × 108,347.12
  4. Step 4: Simplify right side
    285,901.28x = 46,458,551,634.43
  5. Step 5: Solve for x
    x = 46,458,551,634.43/285,901.28
  6. Step 6: Final answer
    x = 162,498.58

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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.