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Finding the Fourth Proportional to 299,199.69, 412,893.61 and 170,138.18

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Solution

The fourth proportional to 299,199.69, 412,893.61 and 170,138.18 is: 234,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,199.69 : 412,893.61 = 170,138.18 : x
  2. Step 2: Convert to fraction form
    299,199.69/412,893.61 = 170,138.18/x
  3. Step 3: Cross multiply
    299,199.69x = 412,893.61 × 170,138.18
  4. Step 4: Simplify right side
    299,199.69x = 70,248,967,339.03
  5. Step 5: Solve for x
    x = 70,248,967,339.03/299,199.69
  6. Step 6: Final answer
    x = 234,789.57

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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.