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Finding the Fourth Proportional to 647,600.85, 971,403.57 and 198,319.77

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Solution

The fourth proportional to 647,600.85, 971,403.57 and 198,319.77 is: 297,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,600.85 : 971,403.57 = 198,319.77 : x
  2. Step 2: Convert to fraction form
    647,600.85/971,403.57 = 198,319.77/x
  3. Step 3: Cross multiply
    647,600.85x = 971,403.57 × 198,319.77
  4. Step 4: Simplify right side
    647,600.85x = 192,648,532,579.58
  5. Step 5: Solve for x
    x = 192,648,532,579.58/647,600.85
  6. Step 6: Final answer
    x = 297,480.36

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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.