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Finding the Fourth Proportional to 517,814.20, 777,012.90 and 202,230.10

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Solution

The fourth proportional to 517,814.20, 777,012.90 and 202,230.10 is: 303,459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,814.20 : 777,012.90 = 202,230.10 : x
  2. Step 2: Convert to fraction form
    517,814.20/777,012.90 = 202,230.10/x
  3. Step 3: Cross multiply
    517,814.20x = 777,012.90 × 202,230.10
  4. Step 4: Simplify right side
    517,814.20x = 157,135,396,468.29
  5. Step 5: Solve for x
    x = 157,135,396,468.29/517,814.20
  6. Step 6: Final answer
    x = 303,459.03

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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.