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Finding the Fourth Proportional to 427,700.40, 641,704.20 and 412,340.40

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Solution

The fourth proportional to 427,700.40, 641,704.20 and 412,340.40 is: 618,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,700.40 : 641,704.20 = 412,340.40 : x
  2. Step 2: Convert to fraction form
    427,700.40/641,704.20 = 412,340.40/x
  3. Step 3: Cross multiply
    427,700.40x = 641,704.20 × 412,340.40
  4. Step 4: Simplify right side
    427,700.40x = 264,600,566,509.68
  5. Step 5: Solve for x
    x = 264,600,566,509.68/427,700.40
  6. Step 6: Final answer
    x = 618,658.68

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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.