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Finding the Fourth Proportional to 538,051.74, 742,456.45 and 331,287.29

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Solution

The fourth proportional to 538,051.74, 742,456.45 and 331,287.29 is: 457,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,051.74 : 742,456.45 = 331,287.29 : x
  2. Step 2: Convert to fraction form
    538,051.74/742,456.45 = 331,287.29/x
  3. Step 3: Cross multiply
    538,051.74x = 742,456.45 × 331,287.29
  4. Step 4: Simplify right side
    538,051.74x = 245,966,384,749.56
  5. Step 5: Solve for x
    x = 245,966,384,749.56/538,051.74
  6. Step 6: Final answer
    x = 457,142.63

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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.