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Finding the Fourth Proportional to 379,177.92, 523,268.64 and 209,414.88

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Solution

The fourth proportional to 379,177.92, 523,268.64 and 209,414.88 is: 288,994.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,177.92 : 523,268.64 = 209,414.88 : x
  2. Step 2: Convert to fraction form
    379,177.92/523,268.64 = 209,414.88/x
  3. Step 3: Cross multiply
    379,177.92x = 523,268.64 × 209,414.88
  4. Step 4: Simplify right side
    379,177.92x = 109,580,239,453.36
  5. Step 5: Solve for x
    x = 109,580,239,453.36/379,177.92
  6. Step 6: Final answer
    x = 288,994.25

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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.