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Finding the Fourth Proportional to 538,296.22, 742,862.16 and 331,486.33

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Solution

The fourth proportional to 538,296.22, 742,862.16 and 331,486.33 is: 457,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,296.22 : 742,862.16 = 331,486.33 : x
  2. Step 2: Convert to fraction form
    538,296.22/742,862.16 = 331,486.33/x
  3. Step 3: Cross multiply
    538,296.22x = 742,862.16 × 331,486.33
  4. Step 4: Simplify right side
    538,296.22x = 246,248,651,114.27
  5. Step 5: Solve for x
    x = 246,248,651,114.27/538,296.22
  6. Step 6: Final answer
    x = 457,459.37

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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.