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Finding the Fourth Proportional to 517,182.12, 775,621.62 and 201,563.64

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Solution

The fourth proportional to 517,182.12, 775,621.62 and 201,563.64 is: 302,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,182.12 : 775,621.62 = 201,563.64 : x
  2. Step 2: Convert to fraction form
    517,182.12/775,621.62 = 201,563.64/x
  3. Step 3: Cross multiply
    517,182.12x = 775,621.62 × 201,563.64
  4. Step 4: Simplify right side
    517,182.12x = 156,337,116,989.90
  5. Step 5: Solve for x
    x = 156,337,116,989.90/517,182.12
  6. Step 6: Final answer
    x = 302,286.39

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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.