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Finding the Fourth Proportional to 290,169.28, 399,774.91 and 224,532.44

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Solution

The fourth proportional to 290,169.28, 399,774.91 and 224,532.44 is: 309,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,169.28 : 399,774.91 = 224,532.44 : x
  2. Step 2: Convert to fraction form
    290,169.28/399,774.91 = 224,532.44/x
  3. Step 3: Cross multiply
    290,169.28x = 399,774.91 × 224,532.44
  4. Step 4: Simplify right side
    290,169.28x = 89,762,432,871.54
  5. Step 5: Solve for x
    x = 89,762,432,871.54/290,169.28
  6. Step 6: Final answer
    x = 309,345.06

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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.