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Finding the Fourth Proportional to 275,456, 380,148.10 and 152,954.70

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Solution

The fourth proportional to 275,456, 380,148.10 and 152,954.70 is: 211,087.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,456 : 380,148.10 = 152,954.70 : x
  2. Step 2: Convert to fraction form
    275,456/380,148.10 = 152,954.70/x
  3. Step 3: Cross multiply
    275,456x = 380,148.10 × 152,954.70
  4. Step 4: Simplify right side
    275,456x = 58,145,438,591.07
  5. Step 5: Solve for x
    x = 58,145,438,591.07/275,456
  6. Step 6: Final answer
    x = 211,087.94

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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.