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Finding the Fourth Proportional to 561,707.44, 775,161.42 and 319,986.43

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Solution

The fourth proportional to 561,707.44, 775,161.42 and 319,986.43 is: 441,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,707.44 : 775,161.42 = 319,986.43 : x
  2. Step 2: Convert to fraction form
    561,707.44/775,161.42 = 319,986.43/x
  3. Step 3: Cross multiply
    561,707.44x = 775,161.42 × 319,986.43
  4. Step 4: Simplify right side
    561,707.44x = 248,041,135,459.53
  5. Step 5: Solve for x
    x = 248,041,135,459.53/561,707.44
  6. Step 6: Final answer
    x = 441,584.21

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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.