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Finding the Fourth Proportional to 519,642, 717,105.96 and 281,178

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Solution

The fourth proportional to 519,642, 717,105.96 and 281,178 is: 388,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,642 : 717,105.96 = 281,178 : x
  2. Step 2: Convert to fraction form
    519,642/717,105.96 = 281,178/x
  3. Step 3: Cross multiply
    519,642x = 717,105.96 × 281,178
  4. Step 4: Simplify right side
    519,642x = 201,634,419,620.88
  5. Step 5: Solve for x
    x = 201,634,419,620.88/519,642
  6. Step 6: Final answer
    x = 388,025.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.