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Finding the Fourth Proportional to 398,541.80, 597,812.70 and 161,892.20

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Solution

The fourth proportional to 398,541.80, 597,812.70 and 161,892.20 is: 242,838.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,541.80 : 597,812.70 = 161,892.20 : x
  2. Step 2: Convert to fraction form
    398,541.80/597,812.70 = 161,892.20/x
  3. Step 3: Cross multiply
    398,541.80x = 597,812.70 × 161,892.20
  4. Step 4: Simplify right side
    398,541.80x = 96,781,213,190.94
  5. Step 5: Solve for x
    x = 96,781,213,190.94/398,541.80
  6. Step 6: Final answer
    x = 242,838.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.