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Finding the Fourth Proportional to 457,094, 630,958.97 and 275,813.57

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Solution

The fourth proportional to 457,094, 630,958.97 and 275,813.57 is: 380,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,094 : 630,958.97 = 275,813.57 : x
  2. Step 2: Convert to fraction form
    457,094/630,958.97 = 275,813.57/x
  3. Step 3: Cross multiply
    457,094x = 630,958.97 × 275,813.57
  4. Step 4: Simplify right side
    457,094x = 174,027,046,039.22
  5. Step 5: Solve for x
    x = 174,027,046,039.22/457,094
  6. Step 6: Final answer
    x = 380,724.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.