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Finding the Fourth Proportional to 274,570.44, 378,914.42 and 153,711.20

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Solution

The fourth proportional to 274,570.44, 378,914.42 and 153,711.20 is: 212,125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,570.44 : 378,914.42 = 153,711.20 : x
  2. Step 2: Convert to fraction form
    274,570.44/378,914.42 = 153,711.20/x
  3. Step 3: Cross multiply
    274,570.44x = 378,914.42 × 153,711.20
  4. Step 4: Simplify right side
    274,570.44x = 58,243,390,195.50
  5. Step 5: Solve for x
    x = 58,243,390,195.50/274,570.44
  6. Step 6: Final answer
    x = 212,125.49

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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.