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Finding the Fourth Proportional to 492,694.45, 738,978.13 and 155,769.33

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Solution

The fourth proportional to 492,694.45, 738,978.13 and 155,769.33 is: 233,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,694.45 : 738,978.13 = 155,769.33 : x
  2. Step 2: Convert to fraction form
    492,694.45/738,978.13 = 155,769.33/x
  3. Step 3: Cross multiply
    492,694.45x = 738,978.13 × 155,769.33
  4. Step 4: Simplify right side
    492,694.45x = 115,110,128,194.75
  5. Step 5: Solve for x
    x = 115,110,128,194.75/492,694.45
  6. Step 6: Final answer
    x = 233,633.90

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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.