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Finding the Fourth Proportional to 288,716.94, 398,413.22 and 159,647.94

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Solution

The fourth proportional to 288,716.94, 398,413.22 and 159,647.94 is: 220,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,716.94 : 398,413.22 = 159,647.94 : x
  2. Step 2: Convert to fraction form
    288,716.94/398,413.22 = 159,647.94/x
  3. Step 3: Cross multiply
    288,716.94x = 398,413.22 × 159,647.94
  4. Step 4: Simplify right side
    288,716.94x = 63,605,849,043.53
  5. Step 5: Solve for x
    x = 63,605,849,043.53/288,716.94
  6. Step 6: Final answer
    x = 220,305.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.