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Finding the Fourth Proportional to 254,401, 381,601.50 and 79,297

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Solution

The fourth proportional to 254,401, 381,601.50 and 79,297 is: 118,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,401 : 381,601.50 = 79,297 : x
  2. Step 2: Convert to fraction form
    254,401/381,601.50 = 79,297/x
  3. Step 3: Cross multiply
    254,401x = 381,601.50 × 79,297
  4. Step 4: Simplify right side
    254,401x = 30,259,854,145.50
  5. Step 5: Solve for x
    x = 30,259,854,145.50/254,401
  6. Step 6: Final answer
    x = 118,945.50

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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.