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Finding the Fourth Proportional to 522,845.60, 784,786.80 and 256,906.40

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Solution

The fourth proportional to 522,845.60, 784,786.80 and 256,906.40 is: 385,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,845.60 : 784,786.80 = 256,906.40 : x
  2. Step 2: Convert to fraction form
    522,845.60/784,786.80 = 256,906.40/x
  3. Step 3: Cross multiply
    522,845.60x = 784,786.80 × 256,906.40
  4. Step 4: Simplify right side
    522,845.60x = 201,616,751,555.52
  5. Step 5: Solve for x
    x = 201,616,751,555.52/522,845.60
  6. Step 6: Final answer
    x = 385,614.32

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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.