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Finding the Fourth Proportional to 328,067.72, 492,101.57 and 187,727.12

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Solution

The fourth proportional to 328,067.72, 492,101.57 and 187,727.12 is: 281,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,067.72 : 492,101.57 = 187,727.12 : x
  2. Step 2: Convert to fraction form
    328,067.72/492,101.57 = 187,727.12/x
  3. Step 3: Cross multiply
    328,067.72x = 492,101.57 × 187,727.12
  4. Step 4: Simplify right side
    328,067.72x = 92,380,808,023.07
  5. Step 5: Solve for x
    x = 92,380,808,023.07/328,067.72
  6. Step 6: Final answer
    x = 281,590.67

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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.