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Finding the Fourth Proportional to 411,975, 618,297.72 and 212,352.47

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Solution

The fourth proportional to 411,975, 618,297.72 and 212,352.47 is: 318,701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,975 : 618,297.72 = 212,352.47 : x
  2. Step 2: Convert to fraction form
    411,975/618,297.72 = 212,352.47/x
  3. Step 3: Cross multiply
    411,975x = 618,297.72 × 212,352.47
  4. Step 4: Simplify right side
    411,975x = 131,297,048,037.37
  5. Step 5: Solve for x
    x = 131,297,048,037.37/411,975
  6. Step 6: Final answer
    x = 318,701.49

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1.5x scale

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.