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Finding the Fourth Proportional to 305,392, 421,440.96 and 171,256

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Solution

The fourth proportional to 305,392, 421,440.96 and 171,256 is: 236,333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,392 : 421,440.96 = 171,256 : x
  2. Step 2: Convert to fraction form
    305,392/421,440.96 = 171,256/x
  3. Step 3: Cross multiply
    305,392x = 421,440.96 × 171,256
  4. Step 4: Simplify right side
    305,392x = 72,174,293,045.76
  5. Step 5: Solve for x
    x = 72,174,293,045.76/305,392
  6. Step 6: Final answer
    x = 236,333.28

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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.