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Finding the Fourth Proportional to 289,509.75, 433,784.46 and 204,850.29

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Solution

The fourth proportional to 289,509.75, 433,784.46 and 204,850.29 is: 306,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,509.75 : 433,784.46 = 204,850.29 : x
  2. Step 2: Convert to fraction form
    289,509.75/433,784.46 = 204,850.29/x
  3. Step 3: Cross multiply
    289,509.75x = 433,784.46 × 204,850.29
  4. Step 4: Simplify right side
    289,509.75x = 88,860,872,428.49
  5. Step 5: Solve for x
    x = 88,860,872,428.49/289,509.75
  6. Step 6: Final answer
    x = 306,935.68

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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.