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Finding the Fourth Proportional to 400,211.40, 599,004.90 and 310,981.80

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Solution

The fourth proportional to 400,211.40, 599,004.90 and 310,981.80 is: 465,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,211.40 : 599,004.90 = 310,981.80 : x
  2. Step 2: Convert to fraction form
    400,211.40/599,004.90 = 310,981.80/x
  3. Step 3: Cross multiply
    400,211.40x = 599,004.90 × 310,981.80
  4. Step 4: Simplify right side
    400,211.40x = 186,279,622,010.82
  5. Step 5: Solve for x
    x = 186,279,622,010.82/400,211.40
  6. Step 6: Final answer
    x = 465,453.06

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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.