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Finding the Fourth Proportional to 314,299.40, 471,453.56 and 89,659.88

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Solution

The fourth proportional to 314,299.40, 471,453.56 and 89,659.88 is: 134,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,299.40 : 471,453.56 = 89,659.88 : x
  2. Step 2: Convert to fraction form
    314,299.40/471,453.56 = 89,659.88/x
  3. Step 3: Cross multiply
    314,299.40x = 471,453.56 × 89,659.88
  4. Step 4: Simplify right side
    314,299.40x = 42,270,469,615.17
  5. Step 5: Solve for x
    x = 42,270,469,615.17/314,299.40
  6. Step 6: Final answer
    x = 134,491.09

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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.