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Finding the Fourth Proportional to 363,905.78, 502,192.03 and 211,034.74

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Solution

The fourth proportional to 363,905.78, 502,192.03 and 211,034.74 is: 291,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,905.78 : 502,192.03 = 211,034.74 : x
  2. Step 2: Convert to fraction form
    363,905.78/502,192.03 = 211,034.74/x
  3. Step 3: Cross multiply
    363,905.78x = 502,192.03 × 211,034.74
  4. Step 4: Simplify right side
    363,905.78x = 105,979,964,481.12
  5. Step 5: Solve for x
    x = 105,979,964,481.12/363,905.78
  6. Step 6: Final answer
    x = 291,229.13

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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.