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Finding the Fourth Proportional to 542,760.21, 749,098.78 and 301,120.64

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Solution

The fourth proportional to 542,760.21, 749,098.78 and 301,120.64 is: 415,596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,760.21 : 749,098.78 = 301,120.64 : x
  2. Step 2: Convert to fraction form
    542,760.21/749,098.78 = 301,120.64/x
  3. Step 3: Cross multiply
    542,760.21x = 749,098.78 × 301,120.64
  4. Step 4: Simplify right side
    542,760.21x = 225,569,098,805.72
  5. Step 5: Solve for x
    x = 225,569,098,805.72/542,760.21
  6. Step 6: Final answer
    x = 415,596.23

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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.