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Finding the Fourth Proportional to 216,413.90, 324,620.85 and 141,764.30

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Solution

The fourth proportional to 216,413.90, 324,620.85 and 141,764.30 is: 212,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,413.90 : 324,620.85 = 141,764.30 : x
  2. Step 2: Convert to fraction form
    216,413.90/324,620.85 = 141,764.30/x
  3. Step 3: Cross multiply
    216,413.90x = 324,620.85 × 141,764.30
  4. Step 4: Simplify right side
    216,413.90x = 46,019,647,565.66
  5. Step 5: Solve for x
    x = 46,019,647,565.66/216,413.90
  6. Step 6: Final answer
    x = 212,646.45

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1.5x scale

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.