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Finding the Fourth Proportional to 414,326.38, 620,406.62 and 389,072.17

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Solution

The fourth proportional to 414,326.38, 620,406.62 and 389,072.17 is: 582,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,326.38 : 620,406.62 = 389,072.17 : x
  2. Step 2: Convert to fraction form
    414,326.38/620,406.62 = 389,072.17/x
  3. Step 3: Cross multiply
    414,326.38x = 620,406.62 × 389,072.17
  4. Step 4: Simplify right side
    414,326.38x = 241,382,950,492.22
  5. Step 5: Solve for x
    x = 241,382,950,492.22/414,326.38
  6. Step 6: Final answer
    x = 582,591.31

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1.5x scale

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.