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Finding the Fourth Proportional to 299,514.80, 412,628.00 and 208,706.00

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Solution

The fourth proportional to 299,514.80, 412,628.00 and 208,706.00 is: 287,524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,514.80 : 412,628.00 = 208,706.00 : x
  2. Step 2: Convert to fraction form
    299,514.80/412,628.00 = 208,706.00/x
  3. Step 3: Cross multiply
    299,514.80x = 412,628.00 × 208,706.00
  4. Step 4: Simplify right side
    299,514.80x = 86,117,936,261.33
  5. Step 5: Solve for x
    x = 86,117,936,261.33/299,514.80
  6. Step 6: Final answer
    x = 287,524.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.