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Finding the Fourth Proportional to 508,503.47, 762,730.49 and 188,717.63

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Solution

The fourth proportional to 508,503.47, 762,730.49 and 188,717.63 is: 283,067.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,503.47 : 762,730.49 = 188,717.63 : x
  2. Step 2: Convert to fraction form
    508,503.47/762,730.49 = 188,717.63/x
  3. Step 3: Cross multiply
    508,503.47x = 762,730.49 × 188,717.63
  4. Step 4: Simplify right side
    508,503.47x = 143,940,687,059.68
  5. Step 5: Solve for x
    x = 143,940,687,059.68/508,503.47
  6. Step 6: Final answer
    x = 283,067.27

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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.