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Finding the Fourth Proportional to 542,932.80, 749,251.78 and 301,231.22

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Solution

The fourth proportional to 542,932.80, 749,251.78 and 301,231.22 is: 415,701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,932.80 : 749,251.78 = 301,231.22 : x
  2. Step 2: Convert to fraction form
    542,932.80/749,251.78 = 301,231.22/x
  3. Step 3: Cross multiply
    542,932.80x = 749,251.78 × 301,231.22
  4. Step 4: Simplify right side
    542,932.80x = 225,698,027,776.57
  5. Step 5: Solve for x
    x = 225,698,027,776.57/542,932.80
  6. Step 6: Final answer
    x = 415,701.59

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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.