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Finding the Fourth Proportional to 519,381.52, 779,173.26 and 199,510

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Solution

The fourth proportional to 519,381.52, 779,173.26 and 199,510 is: 299,303.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,381.52 : 779,173.26 = 199,510 : x
  2. Step 2: Convert to fraction form
    519,381.52/779,173.26 = 199,510/x
  3. Step 3: Cross multiply
    519,381.52x = 779,173.26 × 199,510
  4. Step 4: Simplify right side
    519,381.52x = 155,452,857,102.60
  5. Step 5: Solve for x
    x = 155,452,857,102.60/519,381.52
  6. Step 6: Final answer
    x = 299,303.79

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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.