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Finding the Fourth Proportional to 356,412.87, 491,863.32 and 203,475.96

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Solution

The fourth proportional to 356,412.87, 491,863.32 and 203,475.96 is: 280,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,412.87 : 491,863.32 = 203,475.96 : x
  2. Step 2: Convert to fraction form
    356,412.87/491,863.32 = 203,475.96/x
  3. Step 3: Cross multiply
    356,412.87x = 491,863.32 × 203,475.96
  4. Step 4: Simplify right side
    356,412.87x = 100,082,361,225.79
  5. Step 5: Solve for x
    x = 100,082,361,225.79/356,412.87
  6. Step 6: Final answer
    x = 280,804.57

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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.