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Finding the Fourth Proportional to 409,399.09, 565,205.18 and 273,662.93

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Solution

The fourth proportional to 409,399.09, 565,205.18 and 273,662.93 is: 377,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,399.09 : 565,205.18 = 273,662.93 : x
  2. Step 2: Convert to fraction form
    409,399.09/565,205.18 = 273,662.93/x
  3. Step 3: Cross multiply
    409,399.09x = 565,205.18 × 273,662.93
  4. Step 4: Simplify right side
    409,399.09x = 154,675,704,241.66
  5. Step 5: Solve for x
    x = 154,675,704,241.66/409,399.09
  6. Step 6: Final answer
    x = 377,811.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.