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Finding the Fourth Proportional to 309,009.53, 463,813.88 and 149,198.17

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Solution

The fourth proportional to 309,009.53, 463,813.88 and 149,198.17 is: 223,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,009.53 : 463,813.88 = 149,198.17 : x
  2. Step 2: Convert to fraction form
    309,009.53/463,813.88 = 149,198.17/x
  3. Step 3: Cross multiply
    309,009.53x = 463,813.88 × 149,198.17
  4. Step 4: Simplify right side
    309,009.53x = 69,200,181,919.96
  5. Step 5: Solve for x
    x = 69,200,181,919.96/309,009.53
  6. Step 6: Final answer
    x = 223,941.90

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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.