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Finding the Fourth Proportional to 513,589.48, 769,966.66 and 214,293

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Solution

The fourth proportional to 513,589.48, 769,966.66 and 214,293 is: 321,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,589.48 : 769,966.66 = 214,293 : x
  2. Step 2: Convert to fraction form
    513,589.48/769,966.66 = 214,293/x
  3. Step 3: Cross multiply
    513,589.48x = 769,966.66 × 214,293
  4. Step 4: Simplify right side
    513,589.48x = 164,998,465,471.38
  5. Step 5: Solve for x
    x = 164,998,465,471.38/513,589.48
  6. Step 6: Final answer
    x = 321,265.27

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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.