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Finding the Fourth Proportional to 490,149.09, 735,220.94 and 190,837.89

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Solution

The fourth proportional to 490,149.09, 735,220.94 and 190,837.89 is: 286,255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,149.09 : 735,220.94 = 190,837.89 : x
  2. Step 2: Convert to fraction form
    490,149.09/735,220.94 = 190,837.89/x
  3. Step 3: Cross multiply
    490,149.09x = 735,220.94 × 190,837.89
  4. Step 4: Simplify right side
    490,149.09x = 140,308,011,919.23
  5. Step 5: Solve for x
    x = 140,308,011,919.23/490,149.09
  6. Step 6: Final answer
    x = 286,255.78

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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.