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Finding the Fourth Proportional to 275,468.40, 412,511.40 and 181,465.20

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Solution

The fourth proportional to 275,468.40, 412,511.40 and 181,465.20 is: 271,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,468.40 : 412,511.40 = 181,465.20 : x
  2. Step 2: Convert to fraction form
    275,468.40/412,511.40 = 181,465.20/x
  3. Step 3: Cross multiply
    275,468.40x = 412,511.40 × 181,465.20
  4. Step 4: Simplify right side
    275,468.40x = 74,856,463,703.28
  5. Step 5: Solve for x
    x = 74,856,463,703.28/275,468.40
  6. Step 6: Final answer
    x = 271,742.47

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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.