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Finding the Fourth Proportional to 521,046.53, 781,161.49 and 205,739.45

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Solution

The fourth proportional to 521,046.53, 781,161.49 and 205,739.45 is: 308,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,046.53 : 781,161.49 = 205,739.45 : x
  2. Step 2: Convert to fraction form
    521,046.53/781,161.49 = 205,739.45/x
  3. Step 3: Cross multiply
    521,046.53x = 781,161.49 × 205,739.45
  4. Step 4: Simplify right side
    521,046.53x = 160,715,730,379.28
  5. Step 5: Solve for x
    x = 160,715,730,379.28/521,046.53
  6. Step 6: Final answer
    x = 308,447.95

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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.