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Finding the Fourth Proportional to 647,793.64, 971,832.62 and 198,548.30

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Solution

The fourth proportional to 647,793.64, 971,832.62 and 198,548.30 is: 297,866.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,793.64 : 971,832.62 = 198,548.30 : x
  2. Step 2: Convert to fraction form
    647,793.64/971,832.62 = 198,548.30/x
  3. Step 3: Cross multiply
    647,793.64x = 971,832.62 × 198,548.30
  4. Step 4: Simplify right side
    647,793.64x = 192,955,714,585.55
  5. Step 5: Solve for x
    x = 192,955,714,585.55/647,793.64
  6. Step 6: Final answer
    x = 297,866.02

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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.