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Finding the Fourth Proportional to 513,204.66, 769,850.06 and 189,081

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Solution

The fourth proportional to 513,204.66, 769,850.06 and 189,081 is: 283,637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,204.66 : 769,850.06 = 189,081 : x
  2. Step 2: Convert to fraction form
    513,204.66/769,850.06 = 189,081/x
  3. Step 3: Cross multiply
    513,204.66x = 769,850.06 × 189,081
  4. Step 4: Simplify right side
    513,204.66x = 145,564,018,249.46
  5. Step 5: Solve for x
    x = 145,564,018,249.46/513,204.66
  6. Step 6: Final answer
    x = 283,637.37

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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.