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Finding the Fourth Proportional to 421,836.54, 632,804.12 and 148,198.75

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Solution

The fourth proportional to 421,836.54, 632,804.12 and 148,198.75 is: 222,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,836.54 : 632,804.12 = 148,198.75 : x
  2. Step 2: Convert to fraction form
    421,836.54/632,804.12 = 148,198.75/x
  3. Step 3: Cross multiply
    421,836.54x = 632,804.12 × 148,198.75
  4. Step 4: Simplify right side
    421,836.54x = 93,780,779,578.85
  5. Step 5: Solve for x
    x = 93,780,779,578.85/421,836.54
  6. Step 6: Final answer
    x = 222,315.45

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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.