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Finding the Fourth Proportional to 379,885.46, 569,640.94 and 133,388.16

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Solution

The fourth proportional to 379,885.46, 569,640.94 and 133,388.16 is: 200,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,885.46 : 569,640.94 = 133,388.16 : x
  2. Step 2: Convert to fraction form
    379,885.46/569,640.94 = 133,388.16/x
  3. Step 3: Cross multiply
    379,885.46x = 569,640.94 × 133,388.16
  4. Step 4: Simplify right side
    379,885.46x = 75,983,354,877.85
  5. Step 5: Solve for x
    x = 75,983,354,877.85/379,885.46
  6. Step 6: Final answer
    x = 200,016.49

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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.