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Finding the Fourth Proportional to 305,406, 421,499.20 and 171,270

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Solution

The fourth proportional to 305,406, 421,499.20 and 171,270 is: 236,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,406 : 421,499.20 = 171,270 : x
  2. Step 2: Convert to fraction form
    305,406/421,499.20 = 171,270/x
  3. Step 3: Cross multiply
    305,406x = 421,499.20 × 171,270
  4. Step 4: Simplify right side
    305,406x = 72,190,167,984
  5. Step 5: Solve for x
    x = 72,190,167,984/305,406
  6. Step 6: Final answer
    x = 236,374.43

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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.