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Finding the Fourth Proportional to 542,910.96, 749,218.05 and 301,193.55

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Solution

The fourth proportional to 542,910.96, 749,218.05 and 301,193.55 is: 415,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,910.96 : 749,218.05 = 301,193.55 : x
  2. Step 2: Convert to fraction form
    542,910.96/749,218.05 = 301,193.55/x
  3. Step 3: Cross multiply
    542,910.96x = 749,218.05 × 301,193.55
  4. Step 4: Simplify right side
    542,910.96x = 225,659,644,203.58
  5. Step 5: Solve for x
    x = 225,659,644,203.58/542,910.96
  6. Step 6: Final answer
    x = 415,647.61

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1.5x scale

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.