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Finding the Fourth Proportional to 538,291.44, 742,843.44 and 308,856.96

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Solution

The fourth proportional to 538,291.44, 742,843.44 and 308,856.96 is: 426,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,291.44 : 742,843.44 = 308,856.96 : x
  2. Step 2: Convert to fraction form
    538,291.44/742,843.44 = 308,856.96/x
  3. Step 3: Cross multiply
    538,291.44x = 742,843.44 × 308,856.96
  4. Step 4: Simplify right side
    538,291.44x = 229,432,366,634.34
  5. Step 5: Solve for x
    x = 229,432,366,634.34/538,291.44
  6. Step 6: Final answer
    x = 426,223.32

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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.