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Finding the Fourth Proportional to 512,207.10, 768,310.65 and 245,903.40

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Solution

The fourth proportional to 512,207.10, 768,310.65 and 245,903.40 is: 368,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,207.10 : 768,310.65 = 245,903.40 : x
  2. Step 2: Convert to fraction form
    512,207.10/768,310.65 = 245,903.40/x
  3. Step 3: Cross multiply
    512,207.10x = 768,310.65 × 245,903.40
  4. Step 4: Simplify right side
    512,207.10x = 188,930,201,091.21
  5. Step 5: Solve for x
    x = 188,930,201,091.21/512,207.10
  6. Step 6: Final answer
    x = 368,855.10

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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.