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Finding the Fourth Proportional to 644,133, 966,305.08 and 264,950.94

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Solution

The fourth proportional to 644,133, 966,305.08 and 264,950.94 is: 397,469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,133 : 966,305.08 = 264,950.94 : x
  2. Step 2: Convert to fraction form
    644,133/966,305.08 = 264,950.94/x
  3. Step 3: Cross multiply
    644,133x = 966,305.08 × 264,950.94
  4. Step 4: Simplify right side
    644,133x = 256,023,439,272.78
  5. Step 5: Solve for x
    x = 256,023,439,272.78/644,133
  6. Step 6: Final answer
    x = 397,469.84

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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.