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Finding the Fourth Proportional to 542,843.84, 749,064.03 and 301,065.83

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Solution

The fourth proportional to 542,843.84, 749,064.03 and 301,065.83 is: 415,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,843.84 : 749,064.03 = 301,065.83 : x
  2. Step 2: Convert to fraction form
    542,843.84/749,064.03 = 301,065.83/x
  3. Step 3: Cross multiply
    542,843.84x = 749,064.03 × 301,065.83
  4. Step 4: Simplify right side
    542,843.84x = 225,517,580,169.78
  5. Step 5: Solve for x
    x = 225,517,580,169.78/542,843.84
  6. Step 6: Final answer
    x = 415,437.31

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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.