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Finding the Fourth Proportional to 286,140.58, 428,375.87 and 214,411.42

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Solution

The fourth proportional to 286,140.58, 428,375.87 and 214,411.42 is: 320,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,140.58 : 428,375.87 = 214,411.42 : x
  2. Step 2: Convert to fraction form
    286,140.58/428,375.87 = 214,411.42/x
  3. Step 3: Cross multiply
    286,140.58x = 428,375.87 × 214,411.42
  4. Step 4: Simplify right side
    286,140.58x = 91,848,676,438.56
  5. Step 5: Solve for x
    x = 91,848,676,438.56/286,140.58
  6. Step 6: Final answer
    x = 320,991.44

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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.