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Finding the Fourth Proportional to 542,646.69, 813,859.20 and 205,571.13

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Solution

The fourth proportional to 542,646.69, 813,859.20 and 205,571.13 is: 308,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,646.69 : 813,859.20 = 205,571.13 : x
  2. Step 2: Convert to fraction form
    542,646.69/813,859.20 = 205,571.13/x
  3. Step 3: Cross multiply
    542,646.69x = 813,859.20 × 205,571.13
  4. Step 4: Simplify right side
    542,646.69x = 167,305,955,404.90
  5. Step 5: Solve for x
    x = 167,305,955,404.90/542,646.69
  6. Step 6: Final answer
    x = 308,314.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.