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Finding the Fourth Proportional to 647,352.39, 971,031.66 and 198,072.54

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Solution

The fourth proportional to 647,352.39, 971,031.66 and 198,072.54 is: 297,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,352.39 : 971,031.66 = 198,072.54 : x
  2. Step 2: Convert to fraction form
    647,352.39/971,031.66 = 198,072.54/x
  3. Step 3: Cross multiply
    647,352.39x = 971,031.66 × 198,072.54
  4. Step 4: Simplify right side
    647,352.39x = 192,334,707,316.62
  5. Step 5: Solve for x
    x = 192,334,707,316.62/647,352.39
  6. Step 6: Final answer
    x = 297,109.75

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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.