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Finding the Fourth Proportional to 300,732.05, 415,010.21 and 164,771.15

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Solution

The fourth proportional to 300,732.05, 415,010.21 and 164,771.15 is: 227,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,732.05 : 415,010.21 = 164,771.15 : x
  2. Step 2: Convert to fraction form
    300,732.05/415,010.21 = 164,771.15/x
  3. Step 3: Cross multiply
    300,732.05x = 415,010.21 × 164,771.15
  4. Step 4: Simplify right side
    300,732.05x = 68,381,706,664.53
  5. Step 5: Solve for x
    x = 68,381,706,664.53/300,732.05
  6. Step 6: Final answer
    x = 227,384.17

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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.