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Finding the Fourth Proportional to 304,247.64, 419,733.18 and 203,678.04

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Solution

The fourth proportional to 304,247.64, 419,733.18 and 203,678.04 is: 280,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,247.64 : 419,733.18 = 203,678.04 : x
  2. Step 2: Convert to fraction form
    304,247.64/419,733.18 = 203,678.04/x
  3. Step 3: Cross multiply
    304,247.64x = 419,733.18 × 203,678.04
  4. Step 4: Simplify right side
    304,247.64x = 85,490,431,425.37
  5. Step 5: Solve for x
    x = 85,490,431,425.37/304,247.64
  6. Step 6: Final answer
    x = 280,989.63

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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.