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Finding the Fourth Proportional to 359,813, 539,745.66 and 138,197

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Solution

The fourth proportional to 359,813, 539,745.66 and 138,197 is: 207,305.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,813 : 539,745.66 = 138,197 : x
  2. Step 2: Convert to fraction form
    359,813/539,745.66 = 138,197/x
  3. Step 3: Cross multiply
    359,813x = 539,745.66 × 138,197
  4. Step 4: Simplify right side
    359,813x = 74,591,230,975.02
  5. Step 5: Solve for x
    x = 74,591,230,975.02/359,813
  6. Step 6: Final answer
    x = 207,305.55

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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.