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Finding the Fourth Proportional to 492,393.48, 738,327.78 and 255,497.64

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Solution

The fourth proportional to 492,393.48, 738,327.78 and 255,497.64 is: 383,110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,393.48 : 738,327.78 = 255,497.64 : x
  2. Step 2: Convert to fraction form
    492,393.48/738,327.78 = 255,497.64/x
  3. Step 3: Cross multiply
    492,393.48x = 738,327.78 × 255,497.64
  4. Step 4: Simplify right side
    492,393.48x = 188,641,005,336.44
  5. Step 5: Solve for x
    x = 188,641,005,336.44/492,393.48
  6. Step 6: Final answer
    x = 383,110.28

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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.