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Finding the Fourth Proportional to 512,256.60, 768,384.90 and 263,424.60

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Solution

The fourth proportional to 512,256.60, 768,384.90 and 263,424.60 is: 395,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,256.60 : 768,384.90 = 263,424.60 : x
  2. Step 2: Convert to fraction form
    512,256.60/768,384.90 = 263,424.60/x
  3. Step 3: Cross multiply
    512,256.60x = 768,384.90 × 263,424.60
  4. Step 4: Simplify right side
    512,256.60x = 202,411,484,928.54
  5. Step 5: Solve for x
    x = 202,411,484,928.54/512,256.60
  6. Step 6: Final answer
    x = 395,136.90

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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.