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Finding the Fourth Proportional to 379,564.04, 523,850.46 and 218,415.80

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Solution

The fourth proportional to 379,564.04, 523,850.46 and 218,415.80 is: 301,443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,564.04 : 523,850.46 = 218,415.80 : x
  2. Step 2: Convert to fraction form
    379,564.04/523,850.46 = 218,415.80/x
  3. Step 3: Cross multiply
    379,564.04x = 523,850.46 × 218,415.80
  4. Step 4: Simplify right side
    379,564.04x = 114,417,217,301.27
  5. Step 5: Solve for x
    x = 114,417,217,301.27/379,564.04
  6. Step 6: Final answer
    x = 301,443.78

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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.