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Finding the Fourth Proportional to 251,428.54, 346,983.84 and 155,966

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Solution

The fourth proportional to 251,428.54, 346,983.84 and 155,966 is: 215,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,428.54 : 346,983.84 = 155,966 : x
  2. Step 2: Convert to fraction form
    251,428.54/346,983.84 = 155,966/x
  3. Step 3: Cross multiply
    251,428.54x = 346,983.84 × 155,966
  4. Step 4: Simplify right side
    251,428.54x = 54,117,681,589.44
  5. Step 5: Solve for x
    x = 54,117,681,589.44/251,428.54
  6. Step 6: Final answer
    x = 215,240.81

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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.