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Finding the Fourth Proportional to 328,725.66, 492,639.21 and 178,769.82

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Solution

The fourth proportional to 328,725.66, 492,639.21 and 178,769.82 is: 267,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,725.66 : 492,639.21 = 178,769.82 : x
  2. Step 2: Convert to fraction form
    328,725.66/492,639.21 = 178,769.82/x
  3. Step 3: Cross multiply
    328,725.66x = 492,639.21 × 178,769.82
  4. Step 4: Simplify right side
    328,725.66x = 88,069,022,896.64
  5. Step 5: Solve for x
    x = 88,069,022,896.64/328,725.66
  6. Step 6: Final answer
    x = 267,910.40

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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.