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Finding the Fourth Proportional to 314,653.28, 434,265.92 and 178,721.12

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Solution

The fourth proportional to 314,653.28, 434,265.92 and 178,721.12 is: 246,660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,653.28 : 434,265.92 = 178,721.12 : x
  2. Step 2: Convert to fraction form
    314,653.28/434,265.92 = 178,721.12/x
  3. Step 3: Cross multiply
    314,653.28x = 434,265.92 × 178,721.12
  4. Step 4: Simplify right side
    314,653.28x = 77,612,491,600.23
  5. Step 5: Solve for x
    x = 77,612,491,600.23/314,653.28
  6. Step 6: Final answer
    x = 246,660.36

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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.