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Finding the Fourth Proportional to 1,214,978.40, 1,822,467.60 and 682,516.80

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Solution

The fourth proportional to 1,214,978.40, 1,822,467.60 and 682,516.80 is: 1,023,775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,978.40 : 1,822,467.60 = 682,516.80 : x
  2. Step 2: Convert to fraction form
    1,214,978.40/1,822,467.60 = 682,516.80/x
  3. Step 3: Cross multiply
    1,214,978.40x = 1,822,467.60 × 682,516.80
  4. Step 4: Simplify right side
    1,214,978.40x = 1,243,864,754,455.68
  5. Step 5: Solve for x
    x = 1,243,864,754,455.68/1,214,978.40
  6. Step 6: Final answer
    x = 1,023,775.20

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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.