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Finding the Fourth Proportional to 290,703.72, 400,912.32 and 188,631.72

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Solution

The fourth proportional to 290,703.72, 400,912.32 and 188,631.72 is: 260,143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,703.72 : 400,912.32 = 188,631.72 : x
  2. Step 2: Convert to fraction form
    290,703.72/400,912.32 = 188,631.72/x
  3. Step 3: Cross multiply
    290,703.72x = 400,912.32 × 188,631.72
  4. Step 4: Simplify right side
    290,703.72x = 75,624,780,490.79
  5. Step 5: Solve for x
    x = 75,624,780,490.79/290,703.72
  6. Step 6: Final answer
    x = 260,143.83

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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.