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Finding the Fourth Proportional to 519,902.75, 779,851.70 and 140,822.75

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Solution

The fourth proportional to 519,902.75, 779,851.70 and 140,822.75 is: 211,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,902.75 : 779,851.70 = 140,822.75 : x
  2. Step 2: Convert to fraction form
    519,902.75/779,851.70 = 140,822.75/x
  3. Step 3: Cross multiply
    519,902.75x = 779,851.70 × 140,822.75
  4. Step 4: Simplify right side
    519,902.75x = 109,820,856,382.80
  5. Step 5: Solve for x
    x = 109,820,856,382.80/519,902.75
  6. Step 6: Final answer
    x = 211,233.46

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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.