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Finding the Fourth Proportional to 289,612.64, 434,491.32 and 204,389.90

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Solution

The fourth proportional to 289,612.64, 434,491.32 and 204,389.90 is: 306,635.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,612.64 : 434,491.32 = 204,389.90 : x
  2. Step 2: Convert to fraction form
    289,612.64/434,491.32 = 204,389.90/x
  3. Step 3: Cross multiply
    289,612.64x = 434,491.32 × 204,389.90
  4. Step 4: Simplify right side
    289,612.64x = 88,805,635,273.21
  5. Step 5: Solve for x
    x = 88,805,635,273.21/289,612.64
  6. Step 6: Final answer
    x = 306,635.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.