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Finding the Fourth Proportional to 538,257, 742,794.66 and 299,793

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Solution

The fourth proportional to 538,257, 742,794.66 and 299,793 is: 413,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,257 : 742,794.66 = 299,793 : x
  2. Step 2: Convert to fraction form
    538,257/742,794.66 = 299,793/x
  3. Step 3: Cross multiply
    538,257x = 742,794.66 × 299,793
  4. Step 4: Simplify right side
    538,257x = 222,684,639,505.38
  5. Step 5: Solve for x
    x = 222,684,639,505.38/538,257
  6. Step 6: Final answer
    x = 413,714.34

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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.