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Finding the Fourth Proportional to 215,474.63, 322,987.35 and 120,565.67

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Solution

The fourth proportional to 215,474.63, 322,987.35 and 120,565.67 is: 180,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,474.63 : 322,987.35 = 120,565.67 : x
  2. Step 2: Convert to fraction form
    215,474.63/322,987.35 = 120,565.67/x
  3. Step 3: Cross multiply
    215,474.63x = 322,987.35 × 120,565.67
  4. Step 4: Simplify right side
    215,474.63x = 38,941,184,413.28
  5. Step 5: Solve for x
    x = 38,941,184,413.28/215,474.63
  6. Step 6: Final answer
    x = 180,722.83

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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.