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Finding the Fourth Proportional to 318,598.40, 477,758.72 and 96,930.56

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Solution

The fourth proportional to 318,598.40, 477,758.72 and 96,930.56 is: 145,353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,598.40 : 477,758.72 = 96,930.56 : x
  2. Step 2: Convert to fraction form
    318,598.40/477,758.72 = 96,930.56/x
  3. Step 3: Cross multiply
    318,598.40x = 477,758.72 × 96,930.56
  4. Step 4: Simplify right side
    318,598.40x = 46,309,420,274.48
  5. Step 5: Solve for x
    x = 46,309,420,274.48/318,598.40
  6. Step 6: Final answer
    x = 145,353.59

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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.