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Finding the Fourth Proportional to 508,694.09, 763,033.37 and 171,971.28

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Solution

The fourth proportional to 508,694.09, 763,033.37 and 171,971.28 is: 257,954.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,694.09 : 763,033.37 = 171,971.28 : x
  2. Step 2: Convert to fraction form
    508,694.09/763,033.37 = 171,971.28/x
  3. Step 3: Cross multiply
    508,694.09x = 763,033.37 × 171,971.28
  4. Step 4: Simplify right side
    508,694.09x = 131,219,825,321.61
  5. Step 5: Solve for x
    x = 131,219,825,321.61/508,694.09
  6. Step 6: Final answer
    x = 257,954.29

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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.