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Finding the Fourth Proportional to 647,980.22, 971,984.33 and 198,691.14

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Solution

The fourth proportional to 647,980.22, 971,984.33 and 198,691.14 is: 298,041.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,980.22 : 971,984.33 = 198,691.14 : x
  2. Step 2: Convert to fraction form
    647,980.22/971,984.33 = 198,691.14/x
  3. Step 3: Cross multiply
    647,980.22x = 971,984.33 × 198,691.14
  4. Step 4: Simplify right side
    647,980.22x = 193,124,677,986.41
  5. Step 5: Solve for x
    x = 193,124,677,986.41/647,980.22
  6. Step 6: Final answer
    x = 298,041.01

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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.