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Finding the Fourth Proportional to 231,413.76, 320,986.90 and 225,271.94

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Solution

The fourth proportional to 231,413.76, 320,986.90 and 225,271.94 is: 312,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,413.76 : 320,986.90 = 225,271.94 : x
  2. Step 2: Convert to fraction form
    231,413.76/320,986.90 = 225,271.94/x
  3. Step 3: Cross multiply
    231,413.76x = 320,986.90 × 225,271.94
  4. Step 4: Simplify right side
    231,413.76x = 72,309,340,354.24
  5. Step 5: Solve for x
    x = 72,309,340,354.24/231,413.76
  6. Step 6: Final answer
    x = 312,467.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.