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Finding the Fourth Proportional to 321,012.96, 442,987.74 and 185,047.44

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Solution

The fourth proportional to 321,012.96, 442,987.74 and 185,047.44 is: 255,359.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,012.96 : 442,987.74 = 185,047.44 : x
  2. Step 2: Convert to fraction form
    321,012.96/442,987.74 = 185,047.44/x
  3. Step 3: Cross multiply
    321,012.96x = 442,987.74 × 185,047.44
  4. Step 4: Simplify right side
    321,012.96x = 81,973,747,238.39
  5. Step 5: Solve for x
    x = 81,973,747,238.39/321,012.96
  6. Step 6: Final answer
    x = 255,359.62

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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.