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Finding the Fourth Proportional to 646,937.38, 970,553.70 and 197,722.12

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Solution

The fourth proportional to 646,937.38, 970,553.70 and 197,722.12 is: 296,628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,937.38 : 970,553.70 = 197,722.12 : x
  2. Step 2: Convert to fraction form
    646,937.38/970,553.70 = 197,722.12/x
  3. Step 3: Cross multiply
    646,937.38x = 970,553.70 × 197,722.12
  4. Step 4: Simplify right side
    646,937.38x = 191,899,935,137.84
  5. Step 5: Solve for x
    x = 191,899,935,137.84/646,937.38
  6. Step 6: Final answer
    x = 296,628.30

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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.