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Finding the Fourth Proportional to 379,722.72, 523,978.32 and 218,546.40

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Solution

The fourth proportional to 379,722.72, 523,978.32 and 218,546.40 is: 301,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,722.72 : 523,978.32 = 218,546.40 : x
  2. Step 2: Convert to fraction form
    379,722.72/523,978.32 = 218,546.40/x
  3. Step 3: Cross multiply
    379,722.72x = 523,978.32 × 218,546.40
  4. Step 4: Simplify right side
    379,722.72x = 114,513,575,514.05
  5. Step 5: Solve for x
    x = 114,513,575,514.05/379,722.72
  6. Step 6: Final answer
    x = 301,571.57

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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.