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Finding the Fourth Proportional to 1,213,676.70, 1,822,012.65 and 764,396.70

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Solution

The fourth proportional to 1,213,676.70, 1,822,012.65 and 764,396.70 is: 1,147,538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,676.70 : 1,822,012.65 = 764,396.70 : x
  2. Step 2: Convert to fraction form
    1,213,676.70/1,822,012.65 = 764,396.70/x
  3. Step 3: Cross multiply
    1,213,676.70x = 1,822,012.65 × 764,396.70
  4. Step 4: Simplify right side
    1,213,676.70x = 1,392,740,457,018.25
  5. Step 5: Solve for x
    x = 1,392,740,457,018.25/1,213,676.70
  6. Step 6: Final answer
    x = 1,147,538.27

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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.