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Finding the Fourth Proportional to 512,498.64, 768,310.57 and 362,266.32

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Solution

The fourth proportional to 512,498.64, 768,310.57 and 362,266.32 is: 543,090.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,498.64 : 768,310.57 = 362,266.32 : x
  2. Step 2: Convert to fraction form
    512,498.64/768,310.57 = 362,266.32/x
  3. Step 3: Cross multiply
    512,498.64x = 768,310.57 × 362,266.32
  4. Step 4: Simplify right side
    512,498.64x = 278,333,044,107.25
  5. Step 5: Solve for x
    x = 278,333,044,107.25/512,498.64
  6. Step 6: Final answer
    x = 543,090.30

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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.