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Finding the Fourth Proportional to 647,067.96, 970,643.25 and 197,804.70

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Solution

The fourth proportional to 647,067.96, 970,643.25 and 197,804.70 is: 296,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,067.96 : 970,643.25 = 197,804.70 : x
  2. Step 2: Convert to fraction form
    647,067.96/970,643.25 = 197,804.70/x
  3. Step 3: Cross multiply
    647,067.96x = 970,643.25 × 197,804.70
  4. Step 4: Simplify right side
    647,067.96x = 191,997,796,873.28
  5. Step 5: Solve for x
    x = 191,997,796,873.28/647,067.96
  6. Step 6: Final answer
    x = 296,719.68

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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.