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Finding the Fourth Proportional to 516,942, 775,413 and 142,965

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Solution

The fourth proportional to 516,942, 775,413 and 142,965 is: 214,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,942 : 775,413 = 142,965 : x
  2. Step 2: Convert to fraction form
    516,942/775,413 = 142,965/x
  3. Step 3: Cross multiply
    516,942x = 775,413 × 142,965
  4. Step 4: Simplify right side
    516,942x = 110,856,919,545
  5. Step 5: Solve for x
    x = 110,856,919,545/516,942
  6. Step 6: Final answer
    x = 214,447.50

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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.