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Finding the Fourth Proportional to 490,802.56, 735,806.70 and 220,732.92

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Solution

The fourth proportional to 490,802.56, 735,806.70 and 220,732.92 is: 330,920.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,802.56 : 735,806.70 = 220,732.92 : x
  2. Step 2: Convert to fraction form
    490,802.56/735,806.70 = 220,732.92/x
  3. Step 3: Cross multiply
    490,802.56x = 735,806.70 × 220,732.92
  4. Step 4: Simplify right side
    490,802.56x = 162,416,761,446.56
  5. Step 5: Solve for x
    x = 162,416,761,446.56/490,802.56
  6. Step 6: Final answer
    x = 330,920.77

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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.