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Finding the Fourth Proportional to 398,591.60, 597,923.85 and 161,885.30

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Solution

The fourth proportional to 398,591.60, 597,923.85 and 161,885.30 is: 242,842.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,591.60 : 597,923.85 = 161,885.30 : x
  2. Step 2: Convert to fraction form
    398,591.60/597,923.85 = 161,885.30/x
  3. Step 3: Cross multiply
    398,591.60x = 597,923.85 × 161,885.30
  4. Step 4: Simplify right side
    398,591.60x = 96,795,081,834.41
  5. Step 5: Solve for x
    x = 96,795,081,834.41/398,591.60
  6. Step 6: Final answer
    x = 242,842.75

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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.