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Finding the Fourth Proportional to 362,907, 500,811.66 and 203,931

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Solution

The fourth proportional to 362,907, 500,811.66 and 203,931 is: 281,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,907 : 500,811.66 = 203,931 : x
  2. Step 2: Convert to fraction form
    362,907/500,811.66 = 203,931/x
  3. Step 3: Cross multiply
    362,907x = 500,811.66 × 203,931
  4. Step 4: Simplify right side
    362,907x = 102,131,022,635.46
  5. Step 5: Solve for x
    x = 102,131,022,635.46/362,907
  6. Step 6: Final answer
    x = 281,424.78

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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.