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Finding the Fourth Proportional to 512,843.73, 768,599.83 and 208,883.40

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Solution

The fourth proportional to 512,843.73, 768,599.83 and 208,883.40 is: 313,053.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,843.73 : 768,599.83 = 208,883.40 : x
  2. Step 2: Convert to fraction form
    512,843.73/768,599.83 = 208,883.40/x
  3. Step 3: Cross multiply
    512,843.73x = 768,599.83 × 208,883.40
  4. Step 4: Simplify right side
    512,843.73x = 160,547,745,729.82
  5. Step 5: Solve for x
    x = 160,547,745,729.82/512,843.73
  6. Step 6: Final answer
    x = 313,053.93

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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.