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Finding the Fourth Proportional to 355,298.60, 490,311.02 and 194,154.64

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Solution

The fourth proportional to 355,298.60, 490,311.02 and 194,154.64 is: 267,932.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,298.60 : 490,311.02 = 194,154.64 : x
  2. Step 2: Convert to fraction form
    355,298.60/490,311.02 = 194,154.64/x
  3. Step 3: Cross multiply
    355,298.60x = 490,311.02 × 194,154.64
  4. Step 4: Simplify right side
    355,298.60x = 95,196,158,835.74
  5. Step 5: Solve for x
    x = 95,196,158,835.74/355,298.60
  6. Step 6: Final answer
    x = 267,932.83

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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.