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Finding the Fourth Proportional to 542,790, 749,053.83 and 301,076.69

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Solution

The fourth proportional to 542,790, 749,053.83 and 301,076.69 is: 415,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,790 : 749,053.83 = 301,076.69 : x
  2. Step 2: Convert to fraction form
    542,790/749,053.83 = 301,076.69/x
  3. Step 3: Cross multiply
    542,790x = 749,053.83 × 301,076.69
  4. Step 4: Simplify right side
    542,790x = 225,522,644,022.95
  5. Step 5: Solve for x
    x = 225,522,644,022.95/542,790
  6. Step 6: Final answer
    x = 415,487.84

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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.