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Finding the Fourth Proportional to 522,022.72, 782,930.40 and 255,668.80

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Solution

The fourth proportional to 522,022.72, 782,930.40 and 255,668.80 is: 383,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,022.72 : 782,930.40 = 255,668.80 : x
  2. Step 2: Convert to fraction form
    522,022.72/782,930.40 = 255,668.80/x
  3. Step 3: Cross multiply
    522,022.72x = 782,930.40 × 255,668.80
  4. Step 4: Simplify right side
    522,022.72x = 200,170,875,851.52
  5. Step 5: Solve for x
    x = 200,170,875,851.52/522,022.72
  6. Step 6: Final answer
    x = 383,452.42

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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.