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Finding the Fourth Proportional to 398,122.69, 597,180.34 and 161,409.10

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Solution

The fourth proportional to 398,122.69, 597,180.34 and 161,409.10 is: 242,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,122.69 : 597,180.34 = 161,409.10 : x
  2. Step 2: Convert to fraction form
    398,122.69/597,180.34 = 161,409.10/x
  3. Step 3: Cross multiply
    398,122.69x = 597,180.34 × 161,409.10
  4. Step 4: Simplify right side
    398,122.69x = 96,390,340,410.05
  5. Step 5: Solve for x
    x = 96,390,340,410.05/398,122.69
  6. Step 6: Final answer
    x = 242,112.15

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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.