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Finding the Fourth Proportional to 251,428.30, 346,969.92 and 138,250.78

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Solution

The fourth proportional to 251,428.30, 346,969.92 and 138,250.78 is: 190,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,428.30 : 346,969.92 = 138,250.78 : x
  2. Step 2: Convert to fraction form
    251,428.30/346,969.92 = 138,250.78/x
  3. Step 3: Cross multiply
    251,428.30x = 346,969.92 × 138,250.78
  4. Step 4: Simplify right side
    251,428.30x = 47,968,862,076.54
  5. Step 5: Solve for x
    x = 47,968,862,076.54/251,428.30
  6. Step 6: Final answer
    x = 190,785.45

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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.