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Finding the Fourth Proportional to 362,910, 500,815.80 and 203,934

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Solution

The fourth proportional to 362,910, 500,815.80 and 203,934 is: 281,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,910 : 500,815.80 = 203,934 : x
  2. Step 2: Convert to fraction form
    362,910/500,815.80 = 203,934/x
  3. Step 3: Cross multiply
    362,910x = 500,815.80 × 203,934
  4. Step 4: Simplify right side
    362,910x = 102,133,369,357.20
  5. Step 5: Solve for x
    x = 102,133,369,357.20/362,910
  6. Step 6: Final answer
    x = 281,428.92

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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.