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Finding the Fourth Proportional to 512,975.79, 769,463.73 and 138,998.79

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Solution

The fourth proportional to 512,975.79, 769,463.73 and 138,998.79 is: 208,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,975.79 : 769,463.73 = 138,998.79 : x
  2. Step 2: Convert to fraction form
    512,975.79/769,463.73 = 138,998.79/x
  3. Step 3: Cross multiply
    512,975.79x = 769,463.73 × 138,998.79
  4. Step 4: Simplify right side
    512,975.79x = 106,954,527,418.89
  5. Step 5: Solve for x
    x = 106,954,527,418.89/512,975.79
  6. Step 6: Final answer
    x = 208,498.20

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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.