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Finding the Fourth Proportional to 321,074.82, 481,616.99 and 152,612.47

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Solution

The fourth proportional to 321,074.82, 481,616.99 and 152,612.47 is: 228,920.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,074.82 : 481,616.99 = 152,612.47 : x
  2. Step 2: Convert to fraction form
    321,074.82/481,616.99 = 152,612.47/x
  3. Step 3: Cross multiply
    321,074.82x = 481,616.99 × 152,612.47
  4. Step 4: Simplify right side
    321,074.82x = 73,500,758,849.12
  5. Step 5: Solve for x
    x = 73,500,758,849.12/321,074.82
  6. Step 6: Final answer
    x = 228,920.97

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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.