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Finding the Fourth Proportional to 469,515.29, 647,939.93 and 288,136.44

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Solution

The fourth proportional to 469,515.29, 647,939.93 and 288,136.44 is: 397,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,515.29 : 647,939.93 = 288,136.44 : x
  2. Step 2: Convert to fraction form
    469,515.29/647,939.93 = 288,136.44/x
  3. Step 3: Cross multiply
    469,515.29x = 647,939.93 × 288,136.44
  4. Step 4: Simplify right side
    469,515.29x = 186,695,103,323.37
  5. Step 5: Solve for x
    x = 186,695,103,323.37/469,515.29
  6. Step 6: Final answer
    x = 397,633.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.