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Finding the Fourth Proportional to 519,619.50, 779,451.93 and 164,659.68

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Solution

The fourth proportional to 519,619.50, 779,451.93 and 164,659.68 is: 246,996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,619.50 : 779,451.93 = 164,659.68 : x
  2. Step 2: Convert to fraction form
    519,619.50/779,451.93 = 164,659.68/x
  3. Step 3: Cross multiply
    519,619.50x = 779,451.93 × 164,659.68
  4. Step 4: Simplify right side
    519,619.50x = 128,344,305,369.18
  5. Step 5: Solve for x
    x = 128,344,305,369.18/519,619.50
  6. Step 6: Final answer
    x = 246,996.71

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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.