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Finding the Fourth Proportional to 298,505.96, 411,928.59 and 162,538.80

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Solution

The fourth proportional to 298,505.96, 411,928.59 and 162,538.80 is: 224,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,505.96 : 411,928.59 = 162,538.80 : x
  2. Step 2: Convert to fraction form
    298,505.96/411,928.59 = 162,538.80/x
  3. Step 3: Cross multiply
    298,505.96x = 411,928.59 × 162,538.80
  4. Step 4: Simplify right side
    298,505.96x = 66,954,379,171.90
  5. Step 5: Solve for x
    x = 66,954,379,171.90/298,505.96
  6. Step 6: Final answer
    x = 224,298.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.