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Finding the Fourth Proportional to 224,538.40, 336,896.70 and 91,428.40

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Solution

The fourth proportional to 224,538.40, 336,896.70 and 91,428.40 is: 137,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,538.40 : 336,896.70 = 91,428.40 : x
  2. Step 2: Convert to fraction form
    224,538.40/336,896.70 = 91,428.40/x
  3. Step 3: Cross multiply
    224,538.40x = 336,896.70 × 91,428.40
  4. Step 4: Simplify right side
    224,538.40x = 30,801,926,246.28
  5. Step 5: Solve for x
    x = 30,801,926,246.28/224,538.40
  6. Step 6: Final answer
    x = 137,178.88

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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.