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Finding the Fourth Proportional to 403,389.21, 605,128.13 and 133,419

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Solution

The fourth proportional to 403,389.21, 605,128.13 and 133,419 is: 200,143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,389.21 : 605,128.13 = 133,419 : x
  2. Step 2: Convert to fraction form
    403,389.21/605,128.13 = 133,419/x
  3. Step 3: Cross multiply
    403,389.21x = 605,128.13 × 133,419
  4. Step 4: Simplify right side
    403,389.21x = 80,735,589,976.47
  5. Step 5: Solve for x
    x = 80,735,589,976.47/403,389.21
  6. Step 6: Final answer
    x = 200,143.16

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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.