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Finding the Fourth Proportional to 569,644.20, 853,718.81 and 419,179.95

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Solution

The fourth proportional to 569,644.20, 853,718.81 and 419,179.95 is: 628,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,644.20 : 853,718.81 = 419,179.95 : x
  2. Step 2: Convert to fraction form
    569,644.20/853,718.81 = 419,179.95/x
  3. Step 3: Cross multiply
    569,644.20x = 853,718.81 × 419,179.95
  4. Step 4: Simplify right side
    569,644.20x = 357,861,805,993.96
  5. Step 5: Solve for x
    x = 357,861,805,993.96/569,644.20
  6. Step 6: Final answer
    x = 628,219.87

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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.