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Finding the Fourth Proportional to 500,515.44, 690,711.60 and 274,164.72

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Solution

The fourth proportional to 500,515.44, 690,711.60 and 274,164.72 is: 378,347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,515.44 : 690,711.60 = 274,164.72 : x
  2. Step 2: Convert to fraction form
    500,515.44/690,711.60 = 274,164.72/x
  3. Step 3: Cross multiply
    500,515.44x = 690,711.60 × 274,164.72
  4. Step 4: Simplify right side
    500,515.44x = 189,368,752,414.75
  5. Step 5: Solve for x
    x = 189,368,752,414.75/500,515.44
  6. Step 6: Final answer
    x = 378,347.47

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1.5x scale

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.