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Finding the Fourth Proportional to 5,318,912.25, 7,978,368.56 and 1,329,824.25

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Solution

The fourth proportional to 5,318,912.25, 7,978,368.56 and 1,329,824.25 is: 1,994,736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318,912.25 : 7,978,368.56 = 1,329,824.25 : x
  2. Step 2: Convert to fraction form
    5,318,912.25/7,978,368.56 = 1,329,824.25/x
  3. Step 3: Cross multiply
    5,318,912.25x = 7,978,368.56 × 1,329,824.25
  4. Step 4: Simplify right side
    5,318,912.25x = 10,609,827,979,876.46
  5. Step 5: Solve for x
    x = 10,609,827,979,876.46/5,318,912.25
  6. Step 6: Final answer
    x = 1,994,736.42

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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.