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Finding the Fourth Proportional to 289,498.60, 433,767.80 and 204,839.16

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Solution

The fourth proportional to 289,498.60, 433,767.80 and 204,839.16 is: 306,919.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,498.60 : 433,767.80 = 204,839.16 : x
  2. Step 2: Convert to fraction form
    289,498.60/433,767.80 = 204,839.16/x
  3. Step 3: Cross multiply
    289,498.60x = 433,767.80 × 204,839.16
  4. Step 4: Simplify right side
    289,498.60x = 88,852,631,787.05
  5. Step 5: Solve for x
    x = 88,852,631,787.05/289,498.60
  6. Step 6: Final answer
    x = 306,919.04

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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.