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Finding the Fourth Proportional to 422,427.60, 634,102.20 and 235,803.60

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Solution

The fourth proportional to 422,427.60, 634,102.20 and 235,803.60 is: 353,962.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,427.60 : 634,102.20 = 235,803.60 : x
  2. Step 2: Convert to fraction form
    422,427.60/634,102.20 = 235,803.60/x
  3. Step 3: Cross multiply
    422,427.60x = 634,102.20 × 235,803.60
  4. Step 4: Simplify right side
    422,427.60x = 149,523,581,527.92
  5. Step 5: Solve for x
    x = 149,523,581,527.92/422,427.60
  6. Step 6: Final answer
    x = 353,962.62

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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.