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Finding the Fourth Proportional to 421,908.23, 632,900.80 and 137,525.79

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Solution

The fourth proportional to 421,908.23, 632,900.80 and 137,525.79 is: 206,301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,908.23 : 632,900.80 = 137,525.79 : x
  2. Step 2: Convert to fraction form
    421,908.23/632,900.80 = 137,525.79/x
  3. Step 3: Cross multiply
    421,908.23x = 632,900.80 × 137,525.79
  4. Step 4: Simplify right side
    421,908.23x = 87,040,179,347.13
  5. Step 5: Solve for x
    x = 87,040,179,347.13/421,908.23
  6. Step 6: Final answer
    x = 206,301.21

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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.