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Finding the Fourth Proportional to 538,273.78, 742,818.52 and 293,257.32

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Solution

The fourth proportional to 538,273.78, 742,818.52 and 293,257.32 is: 404,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,273.78 : 742,818.52 = 293,257.32 : x
  2. Step 2: Convert to fraction form
    538,273.78/742,818.52 = 293,257.32/x
  3. Step 3: Cross multiply
    538,273.78x = 742,818.52 × 293,257.32
  4. Step 4: Simplify right side
    538,273.78x = 217,836,968,421.57
  5. Step 5: Solve for x
    x = 217,836,968,421.57/538,273.78
  6. Step 6: Final answer
    x = 404,695.48

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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.