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Finding the Fourth Proportional to 300,492.90, 414,664.41 and 164,500.78

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Solution

The fourth proportional to 300,492.90, 414,664.41 and 164,500.78 is: 227,002.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,492.90 : 414,664.41 = 164,500.78 : x
  2. Step 2: Convert to fraction form
    300,492.90/414,664.41 = 164,500.78/x
  3. Step 3: Cross multiply
    300,492.90x = 414,664.41 × 164,500.78
  4. Step 4: Simplify right side
    300,492.90x = 68,212,618,883.24
  5. Step 5: Solve for x
    x = 68,212,618,883.24/300,492.90
  6. Step 6: Final answer
    x = 227,002.43

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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.