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Finding the Fourth Proportional to 289,143.72, 433,745.04 and 99,579.42

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Solution

The fourth proportional to 289,143.72, 433,745.04 and 99,579.42 is: 149,379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,143.72 : 433,745.04 = 99,579.42 : x
  2. Step 2: Convert to fraction form
    289,143.72/433,745.04 = 99,579.42/x
  3. Step 3: Cross multiply
    289,143.72x = 433,745.04 × 99,579.42
  4. Step 4: Simplify right side
    289,143.72x = 43,192,079,511.08
  5. Step 5: Solve for x
    x = 43,192,079,511.08/289,143.72
  6. Step 6: Final answer
    x = 149,379.28

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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.