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Finding the Fourth Proportional to 505,227, 697,213.32 and 278,872.56

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Solution

The fourth proportional to 505,227, 697,213.32 and 278,872.56 is: 384,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,227 : 697,213.32 = 278,872.56 : x
  2. Step 2: Convert to fraction form
    505,227/697,213.32 = 278,872.56/x
  3. Step 3: Cross multiply
    505,227x = 697,213.32 × 278,872.56
  4. Step 4: Simplify right side
    505,227x = 194,433,663,414.50
  5. Step 5: Solve for x
    x = 194,433,663,414.50/505,227
  6. Step 6: Final answer
    x = 384,844.17

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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.