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Finding the Fourth Proportional to 421,625.57, 632,482.68 and 137,338.29

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Solution

The fourth proportional to 421,625.57, 632,482.68 and 137,338.29 is: 206,021.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,625.57 : 632,482.68 = 137,338.29 : x
  2. Step 2: Convert to fraction form
    421,625.57/632,482.68 = 137,338.29/x
  3. Step 3: Cross multiply
    421,625.57x = 632,482.68 × 137,338.29
  4. Step 4: Simplify right side
    421,625.57x = 86,864,089,725.82
  5. Step 5: Solve for x
    x = 86,864,089,725.82/421,625.57
  6. Step 6: Final answer
    x = 206,021.88

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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.