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Finding the Fourth Proportional to 355,903.48, 491,146.75 and 194,758.55

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Solution

The fourth proportional to 355,903.48, 491,146.75 and 194,758.55 is: 268,766.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,903.48 : 491,146.75 = 194,758.55 : x
  2. Step 2: Convert to fraction form
    355,903.48/491,146.75 = 194,758.55/x
  3. Step 3: Cross multiply
    355,903.48x = 491,146.75 × 194,758.55
  4. Step 4: Simplify right side
    355,903.48x = 95,655,026,411.48
  5. Step 5: Solve for x
    x = 95,655,026,411.48/355,903.48
  6. Step 6: Final answer
    x = 268,766.76

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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.