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Finding the Fourth Proportional to 512,146.30, 768,219.45 and 512,146.30

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Solution

The fourth proportional to 512,146.30, 768,219.45 and 512,146.30 is: 768,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,146.30 : 768,219.45 = 512,146.30 : x
  2. Step 2: Convert to fraction form
    512,146.30/768,219.45 = 512,146.30/x
  3. Step 3: Cross multiply
    512,146.30x = 768,219.45 × 512,146.30
  4. Step 4: Simplify right side
    512,146.30x = 393,440,748,905.54
  5. Step 5: Solve for x
    x = 393,440,748,905.54/512,146.30
  6. Step 6: Final answer
    x = 768,219.45

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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.