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Finding the Fourth Proportional to 519,659.42, 774,685.61 and 511,469.83

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Solution

The fourth proportional to 519,659.42, 774,685.61 and 511,469.83 is: 762,476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,659.42 : 774,685.61 = 511,469.83 : x
  2. Step 2: Convert to fraction form
    519,659.42/774,685.61 = 511,469.83/x
  3. Step 3: Cross multiply
    519,659.42x = 774,685.61 × 511,469.83
  4. Step 4: Simplify right side
    519,659.42x = 396,228,313,376.72
  5. Step 5: Solve for x
    x = 396,228,313,376.72/519,659.42
  6. Step 6: Final answer
    x = 762,476.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.