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Finding the Fourth Proportional to 613,447.62, 919,860.21 and 280,738.50

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Solution

The fourth proportional to 613,447.62, 919,860.21 and 280,738.50 is: 420,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,447.62 : 919,860.21 = 280,738.50 : x
  2. Step 2: Convert to fraction form
    613,447.62/919,860.21 = 280,738.50/x
  3. Step 3: Cross multiply
    613,447.62x = 919,860.21 × 280,738.50
  4. Step 4: Simplify right side
    613,447.62x = 258,240,175,565.09
  5. Step 5: Solve for x
    x = 258,240,175,565.09/613,447.62
  6. Step 6: Final answer
    x = 420,965.32

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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.