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Finding the Fourth Proportional to 379,568.57, 523,805.13 and 218,420.42

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Solution

The fourth proportional to 379,568.57, 523,805.13 and 218,420.42 is: 301,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,568.57 : 523,805.13 = 218,420.42 : x
  2. Step 2: Convert to fraction form
    379,568.57/523,805.13 = 218,420.42/x
  3. Step 3: Cross multiply
    379,568.57x = 523,805.13 × 218,420.42
  4. Step 4: Simplify right side
    379,568.57x = 114,409,733,873.73
  5. Step 5: Solve for x
    x = 114,409,733,873.73/379,568.57
  6. Step 6: Final answer
    x = 301,420.47

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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.