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Finding the Fourth Proportional to 299,321.06, 413,072.69 and 170,256.20

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Solution

The fourth proportional to 299,321.06, 413,072.69 and 170,256.20 is: 234,959.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,321.06 : 413,072.69 = 170,256.20 : x
  2. Step 2: Convert to fraction form
    299,321.06/413,072.69 = 170,256.20/x
  3. Step 3: Cross multiply
    299,321.06x = 413,072.69 × 170,256.20
  4. Step 4: Simplify right side
    299,321.06x = 70,328,183,606.53
  5. Step 5: Solve for x
    x = 70,328,183,606.53/299,321.06
  6. Step 6: Final answer
    x = 234,959.03

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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.