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Finding the Fourth Proportional to 305,237.57, 421,254.47 and 177,910.43

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Solution

The fourth proportional to 305,237.57, 421,254.47 and 177,910.43 is: 245,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,237.57 : 421,254.47 = 177,910.43 : x
  2. Step 2: Convert to fraction form
    305,237.57/421,254.47 = 177,910.43/x
  3. Step 3: Cross multiply
    305,237.57x = 421,254.47 × 177,910.43
  4. Step 4: Simplify right side
    305,237.57x = 74,945,562,235.63
  5. Step 5: Solve for x
    x = 74,945,562,235.63/305,237.57
  6. Step 6: Final answer
    x = 245,531.91

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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.