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Finding the Fourth Proportional to 398,448.40, 597,832.80 and 161,809.60

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Solution

The fourth proportional to 398,448.40, 597,832.80 and 161,809.60 is: 242,779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,448.40 : 597,832.80 = 161,809.60 : x
  2. Step 2: Convert to fraction form
    398,448.40/597,832.80 = 161,809.60/x
  3. Step 3: Cross multiply
    398,448.40x = 597,832.80 × 161,809.60
  4. Step 4: Simplify right side
    398,448.40x = 96,735,086,234.88
  5. Step 5: Solve for x
    x = 96,735,086,234.88/398,448.40
  6. Step 6: Final answer
    x = 242,779.46

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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.