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Finding the Fourth Proportional to 542,551, 748,729.40 and 300,843.76

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Solution

The fourth proportional to 542,551, 748,729.40 and 300,843.76 is: 415,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,551 : 748,729.40 = 300,843.76 : x
  2. Step 2: Convert to fraction form
    542,551/748,729.40 = 300,843.76/x
  3. Step 3: Cross multiply
    542,551x = 748,729.40 × 300,843.76
  4. Step 4: Simplify right side
    542,551x = 225,250,567,918.54
  5. Step 5: Solve for x
    x = 225,250,567,918.54/542,551
  6. Step 6: Final answer
    x = 415,169.39

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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.