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Finding the Fourth Proportional to 647,498.80, 971,321.10 and 198,216.10

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Solution

The fourth proportional to 647,498.80, 971,321.10 and 198,216.10 is: 297,346.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,498.80 : 971,321.10 = 198,216.10 : x
  2. Step 2: Convert to fraction form
    647,498.80/971,321.10 = 198,216.10/x
  3. Step 3: Cross multiply
    647,498.80x = 971,321.10 × 198,216.10
  4. Step 4: Simplify right side
    647,498.80x = 192,531,480,289.71
  5. Step 5: Solve for x
    x = 192,531,480,289.71/647,498.80
  6. Step 6: Final answer
    x = 297,346.47

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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.