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Finding the Fourth Proportional to 398,449.40, 597,834.30 and 161,810.60

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Solution

The fourth proportional to 398,449.40, 597,834.30 and 161,810.60 is: 242,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,449.40 : 597,834.30 = 161,810.60 : x
  2. Step 2: Convert to fraction form
    398,449.40/597,834.30 = 161,810.60/x
  3. Step 3: Cross multiply
    398,449.40x = 597,834.30 × 161,810.60
  4. Step 4: Simplify right side
    398,449.40x = 96,735,926,783.58
  5. Step 5: Solve for x
    x = 96,735,926,783.58/398,449.40
  6. Step 6: Final answer
    x = 242,780.96

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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.