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Finding the Fourth Proportional to 289,137.92, 433,707.44 and 189,381.60

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Solution

The fourth proportional to 289,137.92, 433,707.44 and 189,381.60 is: 284,072.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,137.92 : 433,707.44 = 189,381.60 : x
  2. Step 2: Convert to fraction form
    289,137.92/433,707.44 = 189,381.60/x
  3. Step 3: Cross multiply
    289,137.92x = 433,707.44 × 189,381.60
  4. Step 4: Simplify right side
    289,137.92x = 82,136,208,919.10
  5. Step 5: Solve for x
    x = 82,136,208,919.10/289,137.92
  6. Step 6: Final answer
    x = 284,072.77

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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.