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Finding the Fourth Proportional to 325,215.89, 487,823.83 and 214,381.97

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Solution

The fourth proportional to 325,215.89, 487,823.83 and 214,381.97 is: 321,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,215.89 : 487,823.83 = 214,381.97 : x
  2. Step 2: Convert to fraction form
    325,215.89/487,823.83 = 214,381.97/x
  3. Step 3: Cross multiply
    325,215.89x = 487,823.83 × 214,381.97
  4. Step 4: Simplify right side
    325,215.89x = 104,580,630,713.27
  5. Step 5: Solve for x
    x = 104,580,630,713.27/325,215.89
  6. Step 6: Final answer
    x = 321,572.95

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1.5x scale

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.