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Finding the Fourth Proportional to 290,123.64, 400,267.98 and 189,579.96

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Solution

The fourth proportional to 290,123.64, 400,267.98 and 189,579.96 is: 261,553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,123.64 : 400,267.98 = 189,579.96 : x
  2. Step 2: Convert to fraction form
    290,123.64/400,267.98 = 189,579.96/x
  3. Step 3: Cross multiply
    290,123.64x = 400,267.98 × 189,579.96
  4. Step 4: Simplify right side
    290,123.64x = 75,882,787,637.68
  5. Step 5: Solve for x
    x = 75,882,787,637.68/290,123.64
  6. Step 6: Final answer
    x = 261,553.27

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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.