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Finding the Fourth Proportional to 542,977.74, 749,308.41 and 301,297.14

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Solution

The fourth proportional to 542,977.74, 749,308.41 and 301,297.14 is: 415,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,977.74 : 749,308.41 = 301,297.14 : x
  2. Step 2: Convert to fraction form
    542,977.74/749,308.41 = 301,297.14/x
  3. Step 3: Cross multiply
    542,977.74x = 749,308.41 × 301,297.14
  4. Step 4: Simplify right side
    542,977.74x = 225,764,480,910.95
  5. Step 5: Solve for x
    x = 225,764,480,910.95/542,977.74
  6. Step 6: Final answer
    x = 415,789.57

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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.