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Finding the Fourth Proportional to 305,213.92, 421,172.32 and 171,052

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Solution

The fourth proportional to 305,213.92, 421,172.32 and 171,052 is: 236,038.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,213.92 : 421,172.32 = 171,052 : x
  2. Step 2: Convert to fraction form
    305,213.92/421,172.32 = 171,052/x
  3. Step 3: Cross multiply
    305,213.92x = 421,172.32 × 171,052
  4. Step 4: Simplify right side
    305,213.92x = 72,042,367,680.64
  5. Step 5: Solve for x
    x = 72,042,367,680.64/305,213.92
  6. Step 6: Final answer
    x = 236,038.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.