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Finding the Fourth Proportional to 312,319.98, 468,478.38 and 75,662.66

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Solution

The fourth proportional to 312,319.98, 468,478.38 and 75,662.66 is: 113,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,319.98 : 468,478.38 = 75,662.66 : x
  2. Step 2: Convert to fraction form
    312,319.98/468,478.38 = 75,662.66/x
  3. Step 3: Cross multiply
    312,319.98x = 468,478.38 × 75,662.66
  4. Step 4: Simplify right side
    312,319.98x = 35,446,320,383.29
  5. Step 5: Solve for x
    x = 35,446,320,383.29/312,319.98
  6. Step 6: Final answer
    x = 113,493.60

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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.