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Finding the Fourth Proportional to 647,103.47, 970,657.70 and 197,822.66

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Solution

The fourth proportional to 647,103.47, 970,657.70 and 197,822.66 is: 296,734.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,103.47 : 970,657.70 = 197,822.66 : x
  2. Step 2: Convert to fraction form
    647,103.47/970,657.70 = 197,822.66/x
  3. Step 3: Cross multiply
    647,103.47x = 970,657.70 × 197,822.66
  4. Step 4: Simplify right side
    647,103.47x = 192,018,082,321.08
  5. Step 5: Solve for x
    x = 192,018,082,321.08/647,103.47
  6. Step 6: Final answer
    x = 296,734.75

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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.