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Finding the Fourth Proportional to 646,224.36, 969,349.50 and 172,908.96

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Solution

The fourth proportional to 646,224.36, 969,349.50 and 172,908.96 is: 259,366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,224.36 : 969,349.50 = 172,908.96 : x
  2. Step 2: Convert to fraction form
    646,224.36/969,349.50 = 172,908.96/x
  3. Step 3: Cross multiply
    646,224.36x = 969,349.50 × 172,908.96
  4. Step 4: Simplify right side
    646,224.36x = 167,609,213,921.52
  5. Step 5: Solve for x
    x = 167,609,213,921.52/646,224.36
  6. Step 6: Final answer
    x = 259,366.91

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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.