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Finding the Fourth Proportional to 646,301.70, 969,597.90 and 197,067.96

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Solution

The fourth proportional to 646,301.70, 969,597.90 and 197,067.96 is: 295,646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,301.70 : 969,597.90 = 197,067.96 : x
  2. Step 2: Convert to fraction form
    646,301.70/969,597.90 = 197,067.96/x
  3. Step 3: Cross multiply
    646,301.70x = 969,597.90 × 197,067.96
  4. Step 4: Simplify right side
    646,301.70x = 191,076,680,173.28
  5. Step 5: Solve for x
    x = 191,076,680,173.28/646,301.70
  6. Step 6: Final answer
    x = 295,646.26

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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.