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Finding the Fourth Proportional to 274,538.16, 377,719.20 and 242,131.68

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Solution

The fourth proportional to 274,538.16, 377,719.20 and 242,131.68 is: 333,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,538.16 : 377,719.20 = 242,131.68 : x
  2. Step 2: Convert to fraction form
    274,538.16/377,719.20 = 242,131.68/x
  3. Step 3: Cross multiply
    274,538.16x = 377,719.20 × 242,131.68
  4. Step 4: Simplify right side
    274,538.16x = 91,457,784,464.26
  5. Step 5: Solve for x
    x = 91,457,784,464.26/274,538.16
  6. Step 6: Final answer
    x = 333,133.23

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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.