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Finding the Fourth Proportional to 256,998.76, 383,615.89 and 226,698.60

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Solution

The fourth proportional to 256,998.76, 383,615.89 and 226,698.60 is: 338,387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,998.76 : 383,615.89 = 226,698.60 : x
  2. Step 2: Convert to fraction form
    256,998.76/383,615.89 = 226,698.60/x
  3. Step 3: Cross multiply
    256,998.76x = 383,615.89 × 226,698.60
  4. Step 4: Simplify right side
    256,998.76x = 86,965,185,200.75
  5. Step 5: Solve for x
    x = 86,965,185,200.75/256,998.76
  6. Step 6: Final answer
    x = 338,387.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.