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Finding the Fourth Proportional to 355,101.61, 490,037.30 and 193,956.77

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Solution

The fourth proportional to 355,101.61, 490,037.30 and 193,956.77 is: 267,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,101.61 : 490,037.30 = 193,956.77 : x
  2. Step 2: Convert to fraction form
    355,101.61/490,037.30 = 193,956.77/x
  3. Step 3: Cross multiply
    355,101.61x = 490,037.30 × 193,956.77
  4. Step 4: Simplify right side
    355,101.61x = 95,046,051,147.32
  5. Step 5: Solve for x
    x = 95,046,051,147.32/355,101.61
  6. Step 6: Final answer
    x = 267,658.74

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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.