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Finding the Fourth Proportional to 421,686.88, 632,529.54 and 137,377.09

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Solution

The fourth proportional to 421,686.88, 632,529.54 and 137,377.09 is: 206,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,686.88 : 632,529.54 = 137,377.09 : x
  2. Step 2: Convert to fraction form
    421,686.88/632,529.54 = 137,377.09/x
  3. Step 3: Cross multiply
    421,686.88x = 632,529.54 × 137,377.09
  4. Step 4: Simplify right side
    421,686.88x = 86,895,067,544.24
  5. Step 5: Solve for x
    x = 86,895,067,544.24/421,686.88
  6. Step 6: Final answer
    x = 206,065.38

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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.