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Finding the Fourth Proportional to 299,138, 412,839.60 and 165,002

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Solution

The fourth proportional to 299,138, 412,839.60 and 165,002 is: 227,718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,138 : 412,839.60 = 165,002 : x
  2. Step 2: Convert to fraction form
    299,138/412,839.60 = 165,002/x
  3. Step 3: Cross multiply
    299,138x = 412,839.60 × 165,002
  4. Step 4: Simplify right side
    299,138x = 68,119,359,679.20
  5. Step 5: Solve for x
    x = 68,119,359,679.20/299,138
  6. Step 6: Final answer
    x = 227,718.84

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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.