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Finding the Fourth Proportional to 305,161.92, 421,100.64 and 171,000

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Solution

The fourth proportional to 305,161.92, 421,100.64 and 171,000 is: 235,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,161.92 : 421,100.64 = 171,000 : x
  2. Step 2: Convert to fraction form
    305,161.92/421,100.64 = 171,000/x
  3. Step 3: Cross multiply
    305,161.92x = 421,100.64 × 171,000
  4. Step 4: Simplify right side
    305,161.92x = 72,008,209,440
  5. Step 5: Solve for x
    x = 72,008,209,440/305,161.92
  6. Step 6: Final answer
    x = 235,967.22

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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.