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Finding the Fourth Proportional to 613,074.09, 919,600.40 and 275,876.09

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Solution

The fourth proportional to 613,074.09, 919,600.40 and 275,876.09 is: 413,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,074.09 : 919,600.40 = 275,876.09 : x
  2. Step 2: Convert to fraction form
    613,074.09/919,600.40 = 275,876.09/x
  3. Step 3: Cross multiply
    613,074.09x = 919,600.40 × 275,876.09
  4. Step 4: Simplify right side
    613,074.09x = 253,695,756,737.05
  5. Step 5: Solve for x
    x = 253,695,756,737.05/613,074.09
  6. Step 6: Final answer
    x = 413,809.29

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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.