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Finding the Fourth Proportional to 421,357.23, 632,029.50 and 137,060.73

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Solution

The fourth proportional to 421,357.23, 632,029.50 and 137,060.73 is: 205,589.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,357.23 : 632,029.50 = 137,060.73 : x
  2. Step 2: Convert to fraction form
    421,357.23/632,029.50 = 137,060.73/x
  3. Step 3: Cross multiply
    421,357.23x = 632,029.50 × 137,060.73
  4. Step 4: Simplify right side
    421,357.23x = 86,626,424,651.54
  5. Step 5: Solve for x
    x = 86,626,424,651.54/421,357.23
  6. Step 6: Final answer
    x = 205,589.03

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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.