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Finding the Fourth Proportional to 321,403.78, 482,100.30 and 78,247.42

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Solution

The fourth proportional to 321,403.78, 482,100.30 and 78,247.42 is: 117,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,403.78 : 482,100.30 = 78,247.42 : x
  2. Step 2: Convert to fraction form
    321,403.78/482,100.30 = 78,247.42/x
  3. Step 3: Cross multiply
    321,403.78x = 482,100.30 × 78,247.42
  4. Step 4: Simplify right side
    321,403.78x = 37,723,104,656.23
  5. Step 5: Solve for x
    x = 37,723,104,656.23/321,403.78
  6. Step 6: Final answer
    x = 117,369.82

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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.