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Finding the Fourth Proportional to 295,171.20, 442,709.28 and 84,761.28

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Solution

The fourth proportional to 295,171.20, 442,709.28 and 84,761.28 is: 127,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,171.20 : 442,709.28 = 84,761.28 : x
  2. Step 2: Convert to fraction form
    295,171.20/442,709.28 = 84,761.28/x
  3. Step 3: Cross multiply
    295,171.20x = 442,709.28 × 84,761.28
  4. Step 4: Simplify right side
    295,171.20x = 37,524,605,240.68
  5. Step 5: Solve for x
    x = 37,524,605,240.68/295,171.20
  6. Step 6: Final answer
    x = 127,128.27

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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.