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Finding the Fourth Proportional to 512,090.94, 768,075.84 and 321,989.88

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Solution

The fourth proportional to 512,090.94, 768,075.84 and 321,989.88 is: 482,946.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,090.94 : 768,075.84 = 321,989.88 : x
  2. Step 2: Convert to fraction form
    512,090.94/768,075.84 = 321,989.88/x
  3. Step 3: Cross multiply
    512,090.94x = 768,075.84 × 321,989.88
  4. Step 4: Simplify right side
    512,090.94x = 247,312,647,552.50
  5. Step 5: Solve for x
    x = 247,312,647,552.50/512,090.94
  6. Step 6: Final answer
    x = 482,946.74

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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.