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Finding the Fourth Proportional to 414,181.31, 620,361.32 and 342,289.16

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Solution

The fourth proportional to 414,181.31, 620,361.32 and 342,289.16 is: 512,681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,181.31 : 620,361.32 = 342,289.16 : x
  2. Step 2: Convert to fraction form
    414,181.31/620,361.32 = 342,289.16/x
  3. Step 3: Cross multiply
    414,181.31x = 620,361.32 × 342,289.16
  4. Step 4: Simplify right side
    414,181.31x = 212,342,950,306.04
  5. Step 5: Solve for x
    x = 212,342,950,306.04/414,181.31
  6. Step 6: Final answer
    x = 512,681.16

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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.