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Finding the Fourth Proportional to 321,454.32, 482,213.88 and 84,813.36

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Solution

The fourth proportional to 321,454.32, 482,213.88 and 84,813.36 is: 127,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,454.32 : 482,213.88 = 84,813.36 : x
  2. Step 2: Convert to fraction form
    321,454.32/482,213.88 = 84,813.36/x
  3. Step 3: Cross multiply
    321,454.32x = 482,213.88 × 84,813.36
  4. Step 4: Simplify right side
    321,454.32x = 40,898,179,401.44
  5. Step 5: Solve for x
    x = 40,898,179,401.44/321,454.32
  6. Step 6: Final answer
    x = 127,228.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.