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Finding the Fourth Proportional to 304,113.86, 419,584.94 and 212,230.70

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Solution

The fourth proportional to 304,113.86, 419,584.94 and 212,230.70 is: 292,814.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,113.86 : 419,584.94 = 212,230.70 : x
  2. Step 2: Convert to fraction form
    304,113.86/419,584.94 = 212,230.70/x
  3. Step 3: Cross multiply
    304,113.86x = 419,584.94 × 212,230.70
  4. Step 4: Simplify right side
    304,113.86x = 89,048,803,427.73
  5. Step 5: Solve for x
    x = 89,048,803,427.73/304,113.86
  6. Step 6: Final answer
    x = 292,814.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.