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Finding the Fourth Proportional to 405,198.02, 607,804.86 and 124,715

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Solution

The fourth proportional to 405,198.02, 607,804.86 and 124,715 is: 187,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,198.02 : 607,804.86 = 124,715 : x
  2. Step 2: Convert to fraction form
    405,198.02/607,804.86 = 124,715/x
  3. Step 3: Cross multiply
    405,198.02x = 607,804.86 × 124,715
  4. Step 4: Simplify right side
    405,198.02x = 75,802,383,114.90
  5. Step 5: Solve for x
    x = 75,802,383,114.90/405,198.02
  6. Step 6: Final answer
    x = 187,074.91

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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.