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Finding the Fourth Proportional to 500,198.72, 690,361.52 and 296,364.40

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Solution

The fourth proportional to 500,198.72, 690,361.52 and 296,364.40 is: 409,034.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,198.72 : 690,361.52 = 296,364.40 : x
  2. Step 2: Convert to fraction form
    500,198.72/690,361.52 = 296,364.40/x
  3. Step 3: Cross multiply
    500,198.72x = 690,361.52 × 296,364.40
  4. Step 4: Simplify right side
    500,198.72x = 204,598,577,657.89
  5. Step 5: Solve for x
    x = 204,598,577,657.89/500,198.72
  6. Step 6: Final answer
    x = 409,034.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.