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Finding the Fourth Proportional to 509,201.11, 763,944.66 and 149,380.45

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Solution

The fourth proportional to 509,201.11, 763,944.66 and 149,380.45 is: 224,112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,201.11 : 763,944.66 = 149,380.45 : x
  2. Step 2: Convert to fraction form
    509,201.11/763,944.66 = 149,380.45/x
  3. Step 3: Cross multiply
    509,201.11x = 763,944.66 × 149,380.45
  4. Step 4: Simplify right side
    509,201.11x = 114,118,399,053.09
  5. Step 5: Solve for x
    x = 114,118,399,053.09/509,201.11
  6. Step 6: Final answer
    x = 224,112.63

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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.