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Finding the Fourth Proportional to 663,466.14, 994,947 and 214,119.65

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Solution

The fourth proportional to 663,466.14, 994,947 and 214,119.65 is: 321,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,466.14 : 994,947 = 214,119.65 : x
  2. Step 2: Convert to fraction form
    663,466.14/994,947 = 214,119.65/x
  3. Step 3: Cross multiply
    663,466.14x = 994,947 × 214,119.65
  4. Step 4: Simplify right side
    663,466.14x = 213,037,703,408.55
  5. Step 5: Solve for x
    x = 213,037,703,408.55/663,466.14
  6. Step 6: Final answer
    x = 321,098.08

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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.