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Finding the Fourth Proportional to 427,820.49, 590,792.34 and 275,123.85

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Solution

The fourth proportional to 427,820.49, 590,792.34 and 275,123.85 is: 379,928.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,820.49 : 590,792.34 = 275,123.85 : x
  2. Step 2: Convert to fraction form
    427,820.49/590,792.34 = 275,123.85/x
  3. Step 3: Cross multiply
    427,820.49x = 590,792.34 × 275,123.85
  4. Step 4: Simplify right side
    427,820.49x = 162,541,063,131.31
  5. Step 5: Solve for x
    x = 162,541,063,131.31/427,820.49
  6. Step 6: Final answer
    x = 379,928.19

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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.