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Finding the Fourth Proportional to 274,492.29, 378,713 and 153,614.37

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Solution

The fourth proportional to 274,492.29, 378,713 and 153,614.37 is: 211,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,492.29 : 378,713 = 153,614.37 : x
  2. Step 2: Convert to fraction form
    274,492.29/378,713 = 153,614.37/x
  3. Step 3: Cross multiply
    274,492.29x = 378,713 × 153,614.37
  4. Step 4: Simplify right side
    274,492.29x = 58,175,758,905.81
  5. Step 5: Solve for x
    x = 58,175,758,905.81/274,492.29
  6. Step 6: Final answer
    x = 211,939.50

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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.