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Finding the Fourth Proportional to 379,314.16, 523,468.62 and 218,169.04

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Solution

The fourth proportional to 379,314.16, 523,468.62 and 218,169.04 is: 301,081.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,314.16 : 523,468.62 = 218,169.04 : x
  2. Step 2: Convert to fraction form
    379,314.16/523,468.62 = 218,169.04/x
  3. Step 3: Cross multiply
    379,314.16x = 523,468.62 × 218,169.04
  4. Step 4: Simplify right side
    379,314.16x = 114,204,646,295.53
  5. Step 5: Solve for x
    x = 114,204,646,295.53/379,314.16
  6. Step 6: Final answer
    x = 301,081.95

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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.