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Finding the Fourth Proportional to 538,090.75, 742,537.20 and 334,137.30

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Solution

The fourth proportional to 538,090.75, 742,537.20 and 334,137.30 is: 461,092.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,090.75 : 742,537.20 = 334,137.30 : x
  2. Step 2: Convert to fraction form
    538,090.75/742,537.20 = 334,137.30/x
  3. Step 3: Cross multiply
    538,090.75x = 742,537.20 × 334,137.30
  4. Step 4: Simplify right side
    538,090.75x = 248,109,373,626.06
  5. Step 5: Solve for x
    x = 248,109,373,626.06/538,090.75
  6. Step 6: Final answer
    x = 461,092.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.