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Finding the Fourth Proportional to 512,140.80, 768,211.20 and 260,198.40

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Solution

The fourth proportional to 512,140.80, 768,211.20 and 260,198.40 is: 390,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,140.80 : 768,211.20 = 260,198.40 : x
  2. Step 2: Convert to fraction form
    512,140.80/768,211.20 = 260,198.40/x
  3. Step 3: Cross multiply
    512,140.80x = 768,211.20 × 260,198.40
  4. Step 4: Simplify right side
    512,140.80x = 199,887,325,102.08
  5. Step 5: Solve for x
    x = 199,887,325,102.08/512,140.80
  6. Step 6: Final answer
    x = 390,297.60

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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.