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Finding the Fourth Proportional to 414,181.32, 620,361.30 and 342,289.17

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Solution

The fourth proportional to 414,181.32, 620,361.30 and 342,289.17 is: 512,681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,181.32 : 620,361.30 = 342,289.17 : x
  2. Step 2: Convert to fraction form
    414,181.32/620,361.30 = 342,289.17/x
  3. Step 3: Cross multiply
    414,181.32x = 620,361.30 × 342,289.17
  4. Step 4: Simplify right side
    414,181.32x = 212,342,954,477.12
  5. Step 5: Solve for x
    x = 212,342,954,477.12/414,181.32
  6. Step 6: Final answer
    x = 512,681.15

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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.