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Finding the Fourth Proportional to 341,419.20, 512,128.80 and 164,272.20

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Solution

The fourth proportional to 341,419.20, 512,128.80 and 164,272.20 is: 246,408.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,419.20 : 512,128.80 = 164,272.20 : x
  2. Step 2: Convert to fraction form
    341,419.20/512,128.80 = 164,272.20/x
  3. Step 3: Cross multiply
    341,419.20x = 512,128.80 × 164,272.20
  4. Step 4: Simplify right side
    341,419.20x = 84,128,524,659.36
  5. Step 5: Solve for x
    x = 84,128,524,659.36/341,419.20
  6. Step 6: Final answer
    x = 246,408.30

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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.