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Finding the Fourth Proportional to 355,908.88, 491,133.18 and 194,731.84

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Solution

The fourth proportional to 355,908.88, 491,133.18 and 194,731.84 is: 268,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,908.88 : 491,133.18 = 194,731.84 : x
  2. Step 2: Convert to fraction form
    355,908.88/491,133.18 = 194,731.84/x
  3. Step 3: Cross multiply
    355,908.88x = 491,133.18 × 194,731.84
  4. Step 4: Simplify right side
    355,908.88x = 95,639,267,826.45
  5. Step 5: Solve for x
    x = 95,639,267,826.45/355,908.88
  6. Step 6: Final answer
    x = 268,718.41

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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.