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Finding the Fourth Proportional to 519,606, 777,157.38 and 305,864.64

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Solution

The fourth proportional to 519,606, 777,157.38 and 305,864.64 is: 457,471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,606 : 777,157.38 = 305,864.64 : x
  2. Step 2: Convert to fraction form
    519,606/777,157.38 = 305,864.64/x
  3. Step 3: Cross multiply
    519,606x = 777,157.38 × 305,864.64
  4. Step 4: Simplify right side
    519,606x = 237,704,962,257.04
  5. Step 5: Solve for x
    x = 237,704,962,257.04/519,606
  6. Step 6: Final answer
    x = 457,471.55

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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.