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Finding the Fourth Proportional to 538,051.61, 742,456.28 and 331,287.17

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Solution

The fourth proportional to 538,051.61, 742,456.28 and 331,287.17 is: 457,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,051.61 : 742,456.28 = 331,287.17 : x
  2. Step 2: Convert to fraction form
    538,051.61/742,456.28 = 331,287.17/x
  3. Step 3: Cross multiply
    538,051.61x = 742,456.28 × 331,287.17
  4. Step 4: Simplify right side
    538,051.61x = 245,966,239,849.93
  5. Step 5: Solve for x
    x = 245,966,239,849.93/538,051.61
  6. Step 6: Final answer
    x = 457,142.47

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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.