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Finding the Fourth Proportional to 289,377.20, 433,806.60 and 189,585.20

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Solution

The fourth proportional to 289,377.20, 433,806.60 and 189,585.20 is: 284,207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,377.20 : 433,806.60 = 189,585.20 : x
  2. Step 2: Convert to fraction form
    289,377.20/433,806.60 = 189,585.20/x
  3. Step 3: Cross multiply
    289,377.20x = 433,806.60 × 189,585.20
  4. Step 4: Simplify right side
    289,377.20x = 82,243,311,022.32
  5. Step 5: Solve for x
    x = 82,243,311,022.32/289,377.20
  6. Step 6: Final answer
    x = 284,207.99

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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.