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Finding the Fourth Proportional to 416,136.81, 574,268.81 and 225,150.20

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Solution

The fourth proportional to 416,136.81, 574,268.81 and 225,150.20 is: 310,707.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,136.81 : 574,268.81 = 225,150.20 : x
  2. Step 2: Convert to fraction form
    416,136.81/574,268.81 = 225,150.20/x
  3. Step 3: Cross multiply
    416,136.81x = 574,268.81 × 225,150.20
  4. Step 4: Simplify right side
    416,136.81x = 129,296,735,581.68
  5. Step 5: Solve for x
    x = 129,296,735,581.68/416,136.81
  6. Step 6: Final answer
    x = 310,707.28

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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.