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Finding the Fourth Proportional to 318,513.28, 477,840.96 and 96,914.56

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Solution

The fourth proportional to 318,513.28, 477,840.96 and 96,914.56 is: 145,393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,513.28 : 477,840.96 = 96,914.56 : x
  2. Step 2: Convert to fraction form
    318,513.28/477,840.96 = 96,914.56/x
  3. Step 3: Cross multiply
    318,513.28x = 477,840.96 × 96,914.56
  4. Step 4: Simplify right side
    318,513.28x = 46,309,746,388.38
  5. Step 5: Solve for x
    x = 46,309,746,388.38/318,513.28
  6. Step 6: Final answer
    x = 145,393.46

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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.