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Finding the Fourth Proportional to 308,827.82, 426,121.80 and 194,039.96

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Solution

The fourth proportional to 308,827.82, 426,121.80 and 194,039.96 is: 267,737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,827.82 : 426,121.80 = 194,039.96 : x
  2. Step 2: Convert to fraction form
    308,827.82/426,121.80 = 194,039.96/x
  3. Step 3: Cross multiply
    308,827.82x = 426,121.80 × 194,039.96
  4. Step 4: Simplify right side
    308,827.82x = 82,684,657,027.13
  5. Step 5: Solve for x
    x = 82,684,657,027.13/308,827.82
  6. Step 6: Final answer
    x = 267,737.07

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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.