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Finding the Fourth Proportional to 421,804.25, 632,576.18 and 122,306.90

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Solution

The fourth proportional to 421,804.25, 632,576.18 and 122,306.90 is: 183,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,804.25 : 632,576.18 = 122,306.90 : x
  2. Step 2: Convert to fraction form
    421,804.25/632,576.18 = 122,306.90/x
  3. Step 3: Cross multiply
    421,804.25x = 632,576.18 × 122,306.90
  4. Step 4: Simplify right side
    421,804.25x = 77,368,431,589.64
  5. Step 5: Solve for x
    x = 77,368,431,589.64/421,804.25
  6. Step 6: Final answer
    x = 183,422.60

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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.