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Finding the Fourth Proportional to 287,059.28, 430,618.28 and 109,715.56

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Solution

The fourth proportional to 287,059.28, 430,618.28 and 109,715.56 is: 164,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,059.28 : 430,618.28 = 109,715.56 : x
  2. Step 2: Convert to fraction form
    287,059.28/430,618.28 = 109,715.56/x
  3. Step 3: Cross multiply
    287,059.28x = 430,618.28 × 109,715.56
  4. Step 4: Simplify right side
    287,059.28x = 47,245,525,736.44
  5. Step 5: Solve for x
    x = 47,245,525,736.44/287,059.28
  6. Step 6: Final answer
    x = 164,584.56

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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.