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Finding the Fourth Proportional to 427,674.40, 641,665.20 and 412,314.40

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Solution

The fourth proportional to 427,674.40, 641,665.20 and 412,314.40 is: 618,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,674.40 : 641,665.20 = 412,314.40 : x
  2. Step 2: Convert to fraction form
    427,674.40/641,665.20 = 412,314.40/x
  3. Step 3: Cross multiply
    427,674.40x = 641,665.20 × 412,314.40
  4. Step 4: Simplify right side
    427,674.40x = 264,567,801,938.88
  5. Step 5: Solve for x
    x = 264,567,801,938.88/427,674.40
  6. Step 6: Final answer
    x = 618,619.68

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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.