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Finding the Fourth Proportional to 288,593.64, 398,210.46 and 161,270.28

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Solution

The fourth proportional to 288,593.64, 398,210.46 and 161,270.28 is: 222,525.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,593.64 : 398,210.46 = 161,270.28 : x
  2. Step 2: Convert to fraction form
    288,593.64/398,210.46 = 161,270.28/x
  3. Step 3: Cross multiply
    288,593.64x = 398,210.46 × 161,270.28
  4. Step 4: Simplify right side
    288,593.64x = 64,219,512,383.13
  5. Step 5: Solve for x
    x = 64,219,512,383.13/288,593.64
  6. Step 6: Final answer
    x = 222,525.74

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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.