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Finding the Fourth Proportional to 542,873.82, 749,255.70 and 301,234.22

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Solution

The fourth proportional to 542,873.82, 749,255.70 and 301,234.22 is: 415,753.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,873.82 : 749,255.70 = 301,234.22 : x
  2. Step 2: Convert to fraction form
    542,873.82/749,255.70 = 301,234.22/x
  3. Step 3: Cross multiply
    542,873.82x = 749,255.70 × 301,234.22
  4. Step 4: Simplify right side
    542,873.82x = 225,701,456,370.05
  5. Step 5: Solve for x
    x = 225,701,456,370.05/542,873.82
  6. Step 6: Final answer
    x = 415,753.07

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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.