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Finding the Fourth Proportional to 512,498.20, 768,080.40 and 208,538.05

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Solution

The fourth proportional to 512,498.20, 768,080.40 and 208,538.05 is: 312,535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,498.20 : 768,080.40 = 208,538.05 : x
  2. Step 2: Convert to fraction form
    512,498.20/768,080.40 = 208,538.05/x
  3. Step 3: Cross multiply
    512,498.20x = 768,080.40 × 208,538.05
  4. Step 4: Simplify right side
    512,498.20x = 160,173,988,859.22
  5. Step 5: Solve for x
    x = 160,173,988,859.22/512,498.20
  6. Step 6: Final answer
    x = 312,535.71

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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.