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Finding the Fourth Proportional to 321,002.88, 442,984.56 and 177,774.24

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Solution

The fourth proportional to 321,002.88, 442,984.56 and 177,774.24 is: 245,328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,002.88 : 442,984.56 = 177,774.24 : x
  2. Step 2: Convert to fraction form
    321,002.88/442,984.56 = 177,774.24/x
  3. Step 3: Cross multiply
    321,002.88x = 442,984.56 × 177,774.24
  4. Step 4: Simplify right side
    321,002.88x = 78,751,243,485.73
  5. Step 5: Solve for x
    x = 78,751,243,485.73/321,002.88
  6. Step 6: Final answer
    x = 245,328.78

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1.5x scale

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.