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Finding the Fourth Proportional to 379,260.78, 523,395.79 and 218,115.96

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Solution

The fourth proportional to 379,260.78, 523,395.79 and 218,115.96 is: 301,009.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,260.78 : 523,395.79 = 218,115.96 : x
  2. Step 2: Convert to fraction form
    379,260.78/523,395.79 = 218,115.96/x
  3. Step 3: Cross multiply
    379,260.78x = 523,395.79 × 218,115.96
  4. Step 4: Simplify right side
    379,260.78x = 114,160,973,914.69
  5. Step 5: Solve for x
    x = 114,160,973,914.69/379,260.78
  6. Step 6: Final answer
    x = 301,009.17

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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.