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Finding the Fourth Proportional to 399,011.82, 598,511.79 and 185,660.25

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Solution

The fourth proportional to 399,011.82, 598,511.79 and 185,660.25 is: 278,487.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,011.82 : 598,511.79 = 185,660.25 : x
  2. Step 2: Convert to fraction form
    399,011.82/598,511.79 = 185,660.25/x
  3. Step 3: Cross multiply
    399,011.82x = 598,511.79 × 185,660.25
  4. Step 4: Simplify right side
    399,011.82x = 111,119,848,559.35
  5. Step 5: Solve for x
    x = 111,119,848,559.35/399,011.82
  6. Step 6: Final answer
    x = 278,487.61

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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.