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Finding the Fourth Proportional to 414,185.82, 620,368.05 and 342,293.67

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Solution

The fourth proportional to 414,185.82, 620,368.05 and 342,293.67 is: 512,687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,185.82 : 620,368.05 = 342,293.67 : x
  2. Step 2: Convert to fraction form
    414,185.82/620,368.05 = 342,293.67/x
  3. Step 3: Cross multiply
    414,185.82x = 620,368.05 × 342,293.67
  4. Step 4: Simplify right side
    414,185.82x = 212,348,056,585.24
  5. Step 5: Solve for x
    x = 212,348,056,585.24/414,185.82
  6. Step 6: Final answer
    x = 512,687.90

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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.