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Finding the Fourth Proportional to 647,774.76, 971,627.13 and 198,496.92

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Solution

The fourth proportional to 647,774.76, 971,627.13 and 198,496.92 is: 297,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,774.76 : 971,627.13 = 198,496.92 : x
  2. Step 2: Convert to fraction form
    647,774.76/971,627.13 = 198,496.92/x
  3. Step 3: Cross multiply
    647,774.76x = 971,627.13 × 198,496.92
  4. Step 4: Simplify right side
    647,774.76x = 192,864,992,693.44
  5. Step 5: Solve for x
    x = 192,864,992,693.44/647,774.76
  6. Step 6: Final answer
    x = 297,734.65

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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.