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Finding the Fourth Proportional to 288,735.36, 398,392.20 and 161,406.60

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Solution

The fourth proportional to 288,735.36, 398,392.20 and 161,406.60 is: 222,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,735.36 : 398,392.20 = 161,406.60 : x
  2. Step 2: Convert to fraction form
    288,735.36/398,392.20 = 161,406.60/x
  3. Step 3: Cross multiply
    288,735.36x = 398,392.20 × 161,406.60
  4. Step 4: Simplify right side
    288,735.36x = 64,303,130,468.52
  5. Step 5: Solve for x
    x = 64,303,130,468.52/288,735.36
  6. Step 6: Final answer
    x = 222,706.12

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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.