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Finding the Fourth Proportional to 288,561.18, 398,216.43 and 161,242.14

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Solution

The fourth proportional to 288,561.18, 398,216.43 and 161,242.14 is: 222,515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,561.18 : 398,216.43 = 161,242.14 : x
  2. Step 2: Convert to fraction form
    288,561.18/398,216.43 = 161,242.14/x
  3. Step 3: Cross multiply
    288,561.18x = 398,216.43 × 161,242.14
  4. Step 4: Simplify right side
    288,561.18x = 64,209,269,356.36
  5. Step 5: Solve for x
    x = 64,209,269,356.36/288,561.18
  6. Step 6: Final answer
    x = 222,515.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.