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Finding the Fourth Proportional to 542,578, 748,757.64 and 330,610

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Solution

The fourth proportional to 542,578, 748,757.64 and 330,610 is: 456,241.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,578 : 748,757.64 = 330,610 : x
  2. Step 2: Convert to fraction form
    542,578/748,757.64 = 330,610/x
  3. Step 3: Cross multiply
    542,578x = 748,757.64 × 330,610
  4. Step 4: Simplify right side
    542,578x = 247,546,763,360.40
  5. Step 5: Solve for x
    x = 247,546,763,360.40/542,578
  6. Step 6: Final answer
    x = 456,241.80

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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.