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Finding the Fourth Proportional to 542,813.28, 749,067.84 and 313,362.80

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Solution

The fourth proportional to 542,813.28, 749,067.84 and 313,362.80 is: 432,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,813.28 : 749,067.84 = 313,362.80 : x
  2. Step 2: Convert to fraction form
    542,813.28/749,067.84 = 313,362.80/x
  3. Step 3: Cross multiply
    542,813.28x = 749,067.84 × 313,362.80
  4. Step 4: Simplify right side
    542,813.28x = 234,729,995,732.35
  5. Step 5: Solve for x
    x = 234,729,995,732.35/542,813.28
  6. Step 6: Final answer
    x = 432,432.30

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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.