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Finding the Fourth Proportional to 421,826.54, 632,805.75 and 137,451.06

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Solution

The fourth proportional to 421,826.54, 632,805.75 and 137,451.06 is: 206,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,826.54 : 632,805.75 = 137,451.06 : x
  2. Step 2: Convert to fraction form
    421,826.54/632,805.75 = 137,451.06/x
  3. Step 3: Cross multiply
    421,826.54x = 632,805.75 × 137,451.06
  4. Step 4: Simplify right side
    421,826.54x = 86,979,821,111.60
  5. Step 5: Solve for x
    x = 86,979,821,111.60/421,826.54
  6. Step 6: Final answer
    x = 206,198.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.