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Finding the Fourth Proportional to 275,433.62, 380,101.21 and 152,928

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Solution

The fourth proportional to 275,433.62, 380,101.21 and 152,928 is: 211,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,433.62 : 380,101.21 = 152,928 : x
  2. Step 2: Convert to fraction form
    275,433.62/380,101.21 = 152,928/x
  3. Step 3: Cross multiply
    275,433.62x = 380,101.21 × 152,928
  4. Step 4: Simplify right side
    275,433.62x = 58,128,117,460.56
  5. Step 5: Solve for x
    x = 58,128,117,460.56/275,433.62
  6. Step 6: Final answer
    x = 211,042.21

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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.