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Finding the Fourth Proportional to 299,164.08, 448,401.60 and 121,476

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Solution

The fourth proportional to 299,164.08, 448,401.60 and 121,476 is: 182,074.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,164.08 : 448,401.60 = 121,476 : x
  2. Step 2: Convert to fraction form
    299,164.08/448,401.60 = 121,476/x
  3. Step 3: Cross multiply
    299,164.08x = 448,401.60 × 121,476
  4. Step 4: Simplify right side
    299,164.08x = 54,470,032,761.60
  5. Step 5: Solve for x
    x = 54,470,032,761.60/299,164.08
  6. Step 6: Final answer
    x = 182,074.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.