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Finding the Fourth Proportional to 377,755.65, 521,321.94 and 214,423.61

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Solution

The fourth proportional to 377,755.65, 521,321.94 and 214,423.61 is: 295,915.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,755.65 : 521,321.94 = 214,423.61 : x
  2. Step 2: Convert to fraction form
    377,755.65/521,321.94 = 214,423.61/x
  3. Step 3: Cross multiply
    377,755.65x = 521,321.94 × 214,423.61
  4. Step 4: Simplify right side
    377,755.65x = 111,783,729,740.39
  5. Step 5: Solve for x
    x = 111,783,729,740.39/377,755.65
  6. Step 6: Final answer
    x = 295,915.44

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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.