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Finding the Fourth Proportional to 299,765.98, 412,900.95 and 208,959.58

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Solution

The fourth proportional to 299,765.98, 412,900.95 and 208,959.58 is: 287,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,765.98 : 412,900.95 = 208,959.58 : x
  2. Step 2: Convert to fraction form
    299,765.98/412,900.95 = 208,959.58/x
  3. Step 3: Cross multiply
    299,765.98x = 412,900.95 × 208,959.58
  4. Step 4: Simplify right side
    299,765.98x = 86,279,609,093.60
  5. Step 5: Solve for x
    x = 86,279,609,093.60/299,765.98
  6. Step 6: Final answer
    x = 287,823.22

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1.5x scale

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.