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Finding the Fourth Proportional to 427,816.49, 590,786.82 and 275,119.85

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Solution

The fourth proportional to 427,816.49, 590,786.82 and 275,119.85 is: 379,922.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,816.49 : 590,786.82 = 275,119.85 : x
  2. Step 2: Convert to fraction form
    427,816.49/590,786.82 = 275,119.85/x
  3. Step 3: Cross multiply
    427,816.49x = 590,786.82 × 275,119.85
  4. Step 4: Simplify right side
    427,816.49x = 162,537,182,777.34
  5. Step 5: Solve for x
    x = 162,537,182,777.34/427,816.49
  6. Step 6: Final answer
    x = 379,922.67

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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.