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Finding the Fourth Proportional to 486,441.69, 729,268.11 and 202,344.78

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Solution

The fourth proportional to 486,441.69, 729,268.11 and 202,344.78 is: 303,353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,441.69 : 729,268.11 = 202,344.78 : x
  2. Step 2: Convert to fraction form
    486,441.69/729,268.11 = 202,344.78/x
  3. Step 3: Cross multiply
    486,441.69x = 729,268.11 × 202,344.78
  4. Step 4: Simplify right side
    486,441.69x = 147,563,595,278.97
  5. Step 5: Solve for x
    x = 147,563,595,278.97/486,441.69
  6. Step 6: Final answer
    x = 303,353.10

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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.