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Finding the Fourth Proportional to 318,433.28, 477,632.64 and 96,800

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Solution

The fourth proportional to 318,433.28, 477,632.64 and 96,800 is: 145,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,433.28 : 477,632.64 = 96,800 : x
  2. Step 2: Convert to fraction form
    318,433.28/477,632.64 = 96,800/x
  3. Step 3: Cross multiply
    318,433.28x = 477,632.64 × 96,800
  4. Step 4: Simplify right side
    318,433.28x = 46,234,839,552
  5. Step 5: Solve for x
    x = 46,234,839,552/318,433.28
  6. Step 6: Final answer
    x = 145,194.75

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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.