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Finding the Fourth Proportional to 542,794, 749,059.35 and 301,080.69

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Solution

The fourth proportional to 542,794, 749,059.35 and 301,080.69 is: 415,493.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,794 : 749,059.35 = 301,080.69 : x
  2. Step 2: Convert to fraction form
    542,794/749,059.35 = 301,080.69/x
  3. Step 3: Cross multiply
    542,794x = 749,059.35 × 301,080.69
  4. Step 4: Simplify right side
    542,794x = 225,527,305,948.95
  5. Step 5: Solve for x
    x = 225,527,305,948.95/542,794
  6. Step 6: Final answer
    x = 415,493.37

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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.