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Finding the Fourth Proportional to 379,081, 523,131.78 and 228,207.16

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Solution

The fourth proportional to 379,081, 523,131.78 and 228,207.16 is: 314,925.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,081 : 523,131.78 = 228,207.16 : x
  2. Step 2: Convert to fraction form
    379,081/523,131.78 = 228,207.16/x
  3. Step 3: Cross multiply
    379,081x = 523,131.78 × 228,207.16
  4. Step 4: Simplify right side
    379,081x = 119,382,417,819.55
  5. Step 5: Solve for x
    x = 119,382,417,819.55/379,081
  6. Step 6: Final answer
    x = 314,925.88

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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.