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Finding the Fourth Proportional to 646,989.40, 970,311.30 and 197,709.40

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Solution

The fourth proportional to 646,989.40, 970,311.30 and 197,709.40 is: 296,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,989.40 : 970,311.30 = 197,709.40 : x
  2. Step 2: Convert to fraction form
    646,989.40/970,311.30 = 197,709.40/x
  3. Step 3: Cross multiply
    646,989.40x = 970,311.30 × 197,709.40
  4. Step 4: Simplify right side
    646,989.40x = 191,839,664,936.22
  5. Step 5: Solve for x
    x = 191,839,664,936.22/646,989.40
  6. Step 6: Final answer
    x = 296,511.30

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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.