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Finding the Fourth Proportional to 281,018.78, 420,794.45 and 184,653

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Solution

The fourth proportional to 281,018.78, 420,794.45 and 184,653 is: 276,497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,018.78 : 420,794.45 = 184,653 : x
  2. Step 2: Convert to fraction form
    281,018.78/420,794.45 = 184,653/x
  3. Step 3: Cross multiply
    281,018.78x = 420,794.45 × 184,653
  4. Step 4: Simplify right side
    281,018.78x = 77,700,957,575.85
  5. Step 5: Solve for x
    x = 77,700,957,575.85/281,018.78
  6. Step 6: Final answer
    x = 276,497.38

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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.