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Finding the Fourth Proportional to 647,705.09, 971,529.66 and 221,278.97

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Solution

The fourth proportional to 647,705.09, 971,529.66 and 221,278.97 is: 331,908.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,705.09 : 971,529.66 = 221,278.97 : x
  2. Step 2: Convert to fraction form
    647,705.09/971,529.66 = 221,278.97/x
  3. Step 3: Cross multiply
    647,705.09x = 971,529.66 × 221,278.97
  4. Step 4: Simplify right side
    647,705.09x = 214,979,084,918.07
  5. Step 5: Solve for x
    x = 214,979,084,918.07/647,705.09
  6. Step 6: Final answer
    x = 331,908.90

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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.