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Finding the Fourth Proportional to 307,565.43, 461,126.69 and 188,991.78

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Solution

The fourth proportional to 307,565.43, 461,126.69 and 188,991.78 is: 283,351.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,565.43 : 461,126.69 = 188,991.78 : x
  2. Step 2: Convert to fraction form
    307,565.43/461,126.69 = 188,991.78/x
  3. Step 3: Cross multiply
    307,565.43x = 461,126.69 × 188,991.78
  4. Step 4: Simplify right side
    307,565.43x = 87,149,153,948.61
  5. Step 5: Solve for x
    x = 87,149,153,948.61/307,565.43
  6. Step 6: Final answer
    x = 283,351.59

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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.