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Finding the Fourth Proportional to 341,770.40, 512,745.20 and 131,415.20

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Solution

The fourth proportional to 341,770.40, 512,745.20 and 131,415.20 is: 197,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,770.40 : 512,745.20 = 131,415.20 : x
  2. Step 2: Convert to fraction form
    341,770.40/512,745.20 = 131,415.20/x
  3. Step 3: Cross multiply
    341,770.40x = 512,745.20 × 131,415.20
  4. Step 4: Simplify right side
    341,770.40x = 67,382,513,007.04
  5. Step 5: Solve for x
    x = 67,382,513,007.04/341,770.40
  6. Step 6: Final answer
    x = 197,157.25

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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.