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Finding the Fourth Proportional to 512,210.95, 768,316.43 and 512,210.95

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Solution

The fourth proportional to 512,210.95, 768,316.43 and 512,210.95 is: 768,316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,210.95 : 768,316.43 = 512,210.95 : x
  2. Step 2: Convert to fraction form
    512,210.95/768,316.43 = 512,210.95/x
  3. Step 3: Cross multiply
    512,210.95x = 768,316.43 × 512,210.95
  4. Step 4: Simplify right side
    512,210.95x = 393,540,085,949.85
  5. Step 5: Solve for x
    x = 393,540,085,949.85/512,210.95
  6. Step 6: Final answer
    x = 768,316.43

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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.