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Finding the Fourth Proportional to 260,058, 358,880.04 and 140,826

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Solution

The fourth proportional to 260,058, 358,880.04 and 140,826 is: 194,339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,058 : 358,880.04 = 140,826 : x
  2. Step 2: Convert to fraction form
    260,058/358,880.04 = 140,826/x
  3. Step 3: Cross multiply
    260,058x = 358,880.04 × 140,826
  4. Step 4: Simplify right side
    260,058x = 50,539,640,513.04
  5. Step 5: Solve for x
    x = 50,539,640,513.04/260,058
  6. Step 6: Final answer
    x = 194,339.88

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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.