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Finding the Fourth Proportional to 663,465.14, 994,945.50 and 214,118.65

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Solution

The fourth proportional to 663,465.14, 994,945.50 and 214,118.65 is: 321,096.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,465.14 : 994,945.50 = 214,118.65 : x
  2. Step 2: Convert to fraction form
    663,465.14/994,945.50 = 214,118.65/x
  3. Step 3: Cross multiply
    663,465.14x = 994,945.50 × 214,118.65
  4. Step 4: Simplify right side
    663,465.14x = 213,036,390,528.61
  5. Step 5: Solve for x
    x = 213,036,390,528.61/663,465.14
  6. Step 6: Final answer
    x = 321,096.58

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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.