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Finding the Fourth Proportional to 493,446.30, 740,515.05 and 316,383.90

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Solution

The fourth proportional to 493,446.30, 740,515.05 and 316,383.90 is: 474,797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,446.30 : 740,515.05 = 316,383.90 : x
  2. Step 2: Convert to fraction form
    493,446.30/740,515.05 = 316,383.90/x
  3. Step 3: Cross multiply
    493,446.30x = 740,515.05 × 316,383.90
  4. Step 4: Simplify right side
    493,446.30x = 234,287,039,527.70
  5. Step 5: Solve for x
    x = 234,287,039,527.70/493,446.30
  6. Step 6: Final answer
    x = 474,797.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.