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Finding the Fourth Proportional to 288,563.84, 398,210.46 and 161,240.48

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Solution

The fourth proportional to 288,563.84, 398,210.46 and 161,240.48 is: 222,507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,563.84 : 398,210.46 = 161,240.48 : x
  2. Step 2: Convert to fraction form
    288,563.84/398,210.46 = 161,240.48/x
  3. Step 3: Cross multiply
    288,563.84x = 398,210.46 × 161,240.48
  4. Step 4: Simplify right side
    288,563.84x = 64,207,645,711.42
  5. Step 5: Solve for x
    x = 64,207,645,711.42/288,563.84
  6. Step 6: Final answer
    x = 222,507.59

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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.