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Finding the Fourth Proportional to 299,079.21, 412,717.89 and 164,943.21

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Solution

The fourth proportional to 299,079.21, 412,717.89 and 164,943.21 is: 227,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,079.21 : 412,717.89 = 164,943.21 : x
  2. Step 2: Convert to fraction form
    299,079.21/412,717.89 = 164,943.21/x
  3. Step 3: Cross multiply
    299,079.21x = 412,717.89 × 164,943.21
  4. Step 4: Simplify right side
    299,079.21x = 68,075,013,601.03
  5. Step 5: Solve for x
    x = 68,075,013,601.03/299,079.21
  6. Step 6: Final answer
    x = 227,615.33

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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.