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Finding the Fourth Proportional to 305,135.78, 421,097.33 and 169,182.37

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Solution

The fourth proportional to 305,135.78, 421,097.33 and 169,182.37 is: 233,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,135.78 : 421,097.33 = 169,182.37 : x
  2. Step 2: Convert to fraction form
    305,135.78/421,097.33 = 169,182.37/x
  3. Step 3: Cross multiply
    305,135.78x = 421,097.33 × 169,182.37
  4. Step 4: Simplify right side
    305,135.78x = 71,242,245,239.40
  5. Step 5: Solve for x
    x = 71,242,245,239.40/305,135.78
  6. Step 6: Final answer
    x = 233,477.20

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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.