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Finding the Fourth Proportional to 305,536, 421,642.56 and 171,402.88

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Solution

The fourth proportional to 305,536, 421,642.56 and 171,402.88 is: 236,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,536 : 421,642.56 = 171,402.88 : x
  2. Step 2: Convert to fraction form
    305,536/421,642.56 = 171,402.88/x
  3. Step 3: Cross multiply
    305,536x = 421,642.56 × 171,402.88
  4. Step 4: Simplify right side
    305,536x = 72,270,749,114.57
  5. Step 5: Solve for x
    x = 72,270,749,114.57/305,536
  6. Step 6: Final answer
    x = 236,537.59

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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.