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Finding the Fourth Proportional to 647,457.30, 971,296.92 and 198,167.04

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Solution

The fourth proportional to 647,457.30, 971,296.92 and 198,167.04 is: 297,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,457.30 : 971,296.92 = 198,167.04 : x
  2. Step 2: Convert to fraction form
    647,457.30/971,296.92 = 198,167.04/x
  3. Step 3: Cross multiply
    647,457.30x = 971,296.92 × 198,167.04
  4. Step 4: Simplify right side
    647,457.30x = 192,479,035,597.52
  5. Step 5: Solve for x
    x = 192,479,035,597.52/647,457.30
  6. Step 6: Final answer
    x = 297,284.52

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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.