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Finding the Fourth Proportional to 421,680, 632,519.48 and 137,370.09

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Solution

The fourth proportional to 421,680, 632,519.48 and 137,370.09 is: 206,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,680 : 632,519.48 = 137,370.09 : x
  2. Step 2: Convert to fraction form
    421,680/632,519.48 = 137,370.09/x
  3. Step 3: Cross multiply
    421,680x = 632,519.48 × 137,370.09
  4. Step 4: Simplify right side
    421,680x = 86,889,258,237.78
  5. Step 5: Solve for x
    x = 86,889,258,237.78/421,680
  6. Step 6: Final answer
    x = 206,054.97

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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.