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Finding the Fourth Proportional to 543,657.69, 815,278.87 and 178,834.50

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Solution

The fourth proportional to 543,657.69, 815,278.87 and 178,834.50 is: 268,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,657.69 : 815,278.87 = 178,834.50 : x
  2. Step 2: Convert to fraction form
    543,657.69/815,278.87 = 178,834.50/x
  3. Step 3: Cross multiply
    543,657.69x = 815,278.87 × 178,834.50
  4. Step 4: Simplify right side
    543,657.69x = 145,799,989,300.56
  5. Step 5: Solve for x
    x = 145,799,989,300.56/543,657.69
  6. Step 6: Final answer
    x = 268,183.44

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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.