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Finding the Fourth Proportional to 400,216.40, 599,012.40 and 310,986.80

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Solution

The fourth proportional to 400,216.40, 599,012.40 and 310,986.80 is: 465,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,216.40 : 599,012.40 = 310,986.80 : x
  2. Step 2: Convert to fraction form
    400,216.40/599,012.40 = 310,986.80/x
  3. Step 3: Cross multiply
    400,216.40x = 599,012.40 × 310,986.80
  4. Step 4: Simplify right side
    400,216.40x = 186,284,949,436.32
  5. Step 5: Solve for x
    x = 186,284,949,436.32/400,216.40
  6. Step 6: Final answer
    x = 465,460.56

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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.