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Finding the Fourth Proportional to 512,111.20, 768,166.80 and 512,111.20

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Solution

The fourth proportional to 512,111.20, 768,166.80 and 512,111.20 is: 768,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,111.20 : 768,166.80 = 512,111.20 : x
  2. Step 2: Convert to fraction form
    512,111.20/768,166.80 = 512,111.20/x
  3. Step 3: Cross multiply
    512,111.20x = 768,166.80 × 512,111.20
  4. Step 4: Simplify right side
    512,111.20x = 393,386,821,748.16
  5. Step 5: Solve for x
    x = 393,386,821,748.16/512,111.20
  6. Step 6: Final answer
    x = 768,166.80

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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.