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Finding the Fourth Proportional to 492,497.69, 738,784.60 and 189,037.73

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Solution

The fourth proportional to 492,497.69, 738,784.60 and 189,037.73 is: 283,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,497.69 : 738,784.60 = 189,037.73 : x
  2. Step 2: Convert to fraction form
    492,497.69/738,784.60 = 189,037.73/x
  3. Step 3: Cross multiply
    492,497.69x = 738,784.60 × 189,037.73
  4. Step 4: Simplify right side
    492,497.69x = 139,658,165,117.33
  5. Step 5: Solve for x
    x = 139,658,165,117.33/492,497.69
  6. Step 6: Final answer
    x = 283,571.21

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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.