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Finding the Fourth Proportional to 312,359.60, 468,539.40 and 75,702.28

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Solution

The fourth proportional to 312,359.60, 468,539.40 and 75,702.28 is: 113,553.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,359.60 : 468,539.40 = 75,702.28 : x
  2. Step 2: Convert to fraction form
    312,359.60/468,539.40 = 75,702.28/x
  3. Step 3: Cross multiply
    312,359.60x = 468,539.40 × 75,702.28
  4. Step 4: Simplify right side
    312,359.60x = 35,469,498,884.37
  5. Step 5: Solve for x
    x = 35,469,498,884.37/312,359.60
  6. Step 6: Final answer
    x = 113,553.41

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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.