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Finding the Fourth Proportional to 305,058, 420,980.04 and 185,826

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Solution

The fourth proportional to 305,058, 420,980.04 and 185,826 is: 256,439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,058 : 420,980.04 = 185,826 : x
  2. Step 2: Convert to fraction form
    305,058/420,980.04 = 185,826/x
  3. Step 3: Cross multiply
    305,058x = 420,980.04 × 185,826
  4. Step 4: Simplify right side
    305,058x = 78,229,036,913.04
  5. Step 5: Solve for x
    x = 78,229,036,913.04/305,058
  6. Step 6: Final answer
    x = 256,439.88

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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.