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Finding the Fourth Proportional to 318,321.92, 477,488.38 and 107,965.28

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Solution

The fourth proportional to 318,321.92, 477,488.38 and 107,965.28 is: 161,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,321.92 : 477,488.38 = 107,965.28 : x
  2. Step 2: Convert to fraction form
    318,321.92/477,488.38 = 107,965.28/x
  3. Step 3: Cross multiply
    318,321.92x = 477,488.38 × 107,965.28
  4. Step 4: Simplify right side
    318,321.92x = 51,552,166,643.45
  5. Step 5: Solve for x
    x = 51,552,166,643.45/318,321.92
  6. Step 6: Final answer
    x = 161,949.79

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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.