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Finding the Fourth Proportional to 519,380.52, 779,171.76 and 199,509

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Solution

The fourth proportional to 519,380.52, 779,171.76 and 199,509 is: 299,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,380.52 : 779,171.76 = 199,509 : x
  2. Step 2: Convert to fraction form
    519,380.52/779,171.76 = 199,509/x
  3. Step 3: Cross multiply
    519,380.52x = 779,171.76 × 199,509
  4. Step 4: Simplify right side
    519,380.52x = 155,451,778,665.84
  5. Step 5: Solve for x
    x = 155,451,778,665.84/519,380.52
  6. Step 6: Final answer
    x = 299,302.29

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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.