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Finding the Fourth Proportional to 490,432.56, 735,644.12 and 290,609.12

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Solution

The fourth proportional to 490,432.56, 735,644.12 and 290,609.12 is: 435,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,432.56 : 735,644.12 = 290,609.12 : x
  2. Step 2: Convert to fraction form
    490,432.56/735,644.12 = 290,609.12/x
  3. Step 3: Cross multiply
    490,432.56x = 735,644.12 × 290,609.12
  4. Step 4: Simplify right side
    490,432.56x = 213,784,885,215.11
  5. Step 5: Solve for x
    x = 213,784,885,215.11/490,432.56
  6. Step 6: Final answer
    x = 435,910.87

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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.