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Finding the Fourth Proportional to 310,249.64, 428,181.36 and 174,283.86

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Solution

The fourth proportional to 310,249.64, 428,181.36 and 174,283.86 is: 240,532.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,249.64 : 428,181.36 = 174,283.86 : x
  2. Step 2: Convert to fraction form
    310,249.64/428,181.36 = 174,283.86/x
  3. Step 3: Cross multiply
    310,249.64x = 428,181.36 × 174,283.86
  4. Step 4: Simplify right side
    310,249.64x = 74,625,100,200.85
  5. Step 5: Solve for x
    x = 74,625,100,200.85/310,249.64
  6. Step 6: Final answer
    x = 240,532.43

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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.