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Finding the Fourth Proportional to 655,728.98, 983,399.07 and 281,664.50

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Solution

The fourth proportional to 655,728.98, 983,399.07 and 281,664.50 is: 422,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,728.98 : 983,399.07 = 281,664.50 : x
  2. Step 2: Convert to fraction form
    655,728.98/983,399.07 = 281,664.50/x
  3. Step 3: Cross multiply
    655,728.98x = 983,399.07 × 281,664.50
  4. Step 4: Simplify right side
    655,728.98x = 276,988,607,352.02
  5. Step 5: Solve for x
    x = 276,988,607,352.02/655,728.98
  6. Step 6: Final answer
    x = 422,413.25

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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.