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Finding the Fourth Proportional to 305,080, 421,010.52 and 185,848

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Solution

The fourth proportional to 305,080, 421,010.52 and 185,848 is: 256,470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,080 : 421,010.52 = 185,848 : x
  2. Step 2: Convert to fraction form
    305,080/421,010.52 = 185,848/x
  3. Step 3: Cross multiply
    305,080x = 421,010.52 × 185,848
  4. Step 4: Simplify right side
    305,080x = 78,243,963,120.96
  5. Step 5: Solve for x
    x = 78,243,963,120.96/305,080
  6. Step 6: Final answer
    x = 256,470.31

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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.