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Finding the Fourth Proportional to 274,905.16, 378,855.40 and 214,379.94

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Solution

The fourth proportional to 274,905.16, 378,855.40 and 214,379.94 is: 295,443.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,905.16 : 378,855.40 = 214,379.94 : x
  2. Step 2: Convert to fraction form
    274,905.16/378,855.40 = 214,379.94/x
  3. Step 3: Cross multiply
    274,905.16x = 378,855.40 × 214,379.94
  4. Step 4: Simplify right side
    274,905.16x = 81,218,997,920.68
  5. Step 5: Solve for x
    x = 81,218,997,920.68/274,905.16
  6. Step 6: Final answer
    x = 295,443.70

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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.