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Finding the Fourth Proportional to 647,682.36, 971,588.28 and 198,398.04

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Solution

The fourth proportional to 647,682.36, 971,588.28 and 198,398.04 is: 297,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,682.36 : 971,588.28 = 198,398.04 : x
  2. Step 2: Convert to fraction form
    647,682.36/971,588.28 = 198,398.04/x
  3. Step 3: Cross multiply
    647,682.36x = 971,588.28 × 198,398.04
  4. Step 4: Simplify right side
    647,682.36x = 192,761,210,438.97
  5. Step 5: Solve for x
    x = 192,761,210,438.97/647,682.36
  6. Step 6: Final answer
    x = 297,616.89

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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.