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Finding the Fourth Proportional to 386,198.94, 579,219.22 and 146,230.06

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Solution

The fourth proportional to 386,198.94, 579,219.22 and 146,230.06 is: 219,315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,198.94 : 579,219.22 = 146,230.06 : x
  2. Step 2: Convert to fraction form
    386,198.94/579,219.22 = 146,230.06/x
  3. Step 3: Cross multiply
    386,198.94x = 579,219.22 × 146,230.06
  4. Step 4: Simplify right side
    386,198.94x = 84,699,261,293.75
  5. Step 5: Solve for x
    x = 84,699,261,293.75/386,198.94
  6. Step 6: Final answer
    x = 219,315.11

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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.