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Finding the Fourth Proportional to 490,591.22, 735,271.23 and 209,778.26

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Solution

The fourth proportional to 490,591.22, 735,271.23 and 209,778.26 is: 314,404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,591.22 : 735,271.23 = 209,778.26 : x
  2. Step 2: Convert to fraction form
    490,591.22/735,271.23 = 209,778.26/x
  3. Step 3: Cross multiply
    490,591.22x = 735,271.23 × 209,778.26
  4. Step 4: Simplify right side
    490,591.22x = 154,243,919,257.46
  5. Step 5: Solve for x
    x = 154,243,919,257.46/490,591.22
  6. Step 6: Final answer
    x = 314,404.16

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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.