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Finding the Fourth Proportional to 220,851, 304,774.38 and 120,249

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Solution

The fourth proportional to 220,851, 304,774.38 and 120,249 is: 165,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,851 : 304,774.38 = 120,249 : x
  2. Step 2: Convert to fraction form
    220,851/304,774.38 = 120,249/x
  3. Step 3: Cross multiply
    220,851x = 304,774.38 × 120,249
  4. Step 4: Simplify right side
    220,851x = 36,648,814,420.62
  5. Step 5: Solve for x
    x = 36,648,814,420.62/220,851
  6. Step 6: Final answer
    x = 165,943.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.