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Finding the Fourth Proportional to 329,629.50, 454,891.14 and 178,726.50

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Solution

The fourth proportional to 329,629.50, 454,891.14 and 178,726.50 is: 246,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,629.50 : 454,891.14 = 178,726.50 : x
  2. Step 2: Convert to fraction form
    329,629.50/454,891.14 = 178,726.50/x
  3. Step 3: Cross multiply
    329,629.50x = 454,891.14 × 178,726.50
  4. Step 4: Simplify right side
    329,629.50x = 81,301,101,333.21
  5. Step 5: Solve for x
    x = 81,301,101,333.21/329,629.50
  6. Step 6: Final answer
    x = 246,643.89

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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.