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Finding the Fourth Proportional to 512,497.20, 768,078.90 and 208,537.05

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Solution

The fourth proportional to 512,497.20, 768,078.90 and 208,537.05 is: 312,534.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,497.20 : 768,078.90 = 208,537.05 : x
  2. Step 2: Convert to fraction form
    512,497.20/768,078.90 = 208,537.05/x
  3. Step 3: Cross multiply
    512,497.20x = 768,078.90 × 208,537.05
  4. Step 4: Simplify right side
    512,497.20x = 160,172,907,973.25
  5. Step 5: Solve for x
    x = 160,172,907,973.25/512,497.20
  6. Step 6: Final answer
    x = 312,534.21

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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.