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Finding the Fourth Proportional to 421,408.78, 632,094.64 and 121,882.73

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Solution

The fourth proportional to 421,408.78, 632,094.64 and 121,882.73 is: 182,818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,408.78 : 632,094.64 = 121,882.73 : x
  2. Step 2: Convert to fraction form
    421,408.78/632,094.64 = 121,882.73/x
  3. Step 3: Cross multiply
    421,408.78x = 632,094.64 × 121,882.73
  4. Step 4: Simplify right side
    421,408.78x = 77,041,416,876.39
  5. Step 5: Solve for x
    x = 77,041,416,876.39/421,408.78
  6. Step 6: Final answer
    x = 182,818.73

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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.