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Finding the Fourth Proportional to 289,825.80, 433,863.90 and 289,825.80

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Solution

The fourth proportional to 289,825.80, 433,863.90 and 289,825.80 is: 433,863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,825.80 : 433,863.90 = 289,825.80 : x
  2. Step 2: Convert to fraction form
    289,825.80/433,863.90 = 289,825.80/x
  3. Step 3: Cross multiply
    289,825.80x = 433,863.90 × 289,825.80
  4. Step 4: Simplify right side
    289,825.80x = 125,744,951,908.62
  5. Step 5: Solve for x
    x = 125,744,951,908.62/289,825.80
  6. Step 6: Final answer
    x = 433,863.90

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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.