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Finding the Fourth Proportional to 299,119, 412,769.64 and 178,257.52

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Solution

The fourth proportional to 299,119, 412,769.64 and 178,257.52 is: 245,986.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,119 : 412,769.64 = 178,257.52 : x
  2. Step 2: Convert to fraction form
    299,119/412,769.64 = 178,257.52/x
  3. Step 3: Cross multiply
    299,119x = 412,769.64 × 178,257.52
  4. Step 4: Simplify right side
    299,119x = 73,579,292,357.69
  5. Step 5: Solve for x
    x = 73,579,292,357.69/299,119
  6. Step 6: Final answer
    x = 245,986.69

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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.