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Finding the Fourth Proportional to 646,221.36, 969,345 and 172,905.96

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Solution

The fourth proportional to 646,221.36, 969,345 and 172,905.96 is: 259,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,221.36 : 969,345 = 172,905.96 : x
  2. Step 2: Convert to fraction form
    646,221.36/969,345 = 172,905.96/x
  3. Step 3: Cross multiply
    646,221.36x = 969,345 × 172,905.96
  4. Step 4: Simplify right side
    646,221.36x = 167,605,527,796.20
  5. Step 5: Solve for x
    x = 167,605,527,796.20/646,221.36
  6. Step 6: Final answer
    x = 259,362.41

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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.