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Finding the Fourth Proportional to 305,094.26, 421,044.21 and 177,749.30

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Solution

The fourth proportional to 305,094.26, 421,044.21 and 177,749.30 is: 245,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,094.26 : 421,044.21 = 177,749.30 : x
  2. Step 2: Convert to fraction form
    305,094.26/421,044.21 = 177,749.30/x
  3. Step 3: Cross multiply
    305,094.26x = 421,044.21 × 177,749.30
  4. Step 4: Simplify right side
    305,094.26x = 74,840,313,596.55
  5. Step 5: Solve for x
    x = 74,840,313,596.55/305,094.26
  6. Step 6: Final answer
    x = 245,302.27

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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.