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Finding the Fourth Proportional to 647,489.49, 971,068.56 and 191,974.21

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Solution

The fourth proportional to 647,489.49, 971,068.56 and 191,974.21 is: 287,912.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,489.49 : 971,068.56 = 191,974.21 : x
  2. Step 2: Convert to fraction form
    647,489.49/971,068.56 = 191,974.21/x
  3. Step 3: Cross multiply
    647,489.49x = 971,068.56 × 191,974.21
  4. Step 4: Simplify right side
    647,489.49x = 186,420,116,514.26
  5. Step 5: Solve for x
    x = 186,420,116,514.26/647,489.49
  6. Step 6: Final answer
    x = 287,912.19

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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.