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Finding the Fourth Proportional to 379,433, 523,704.84 and 218,381.06

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Solution

The fourth proportional to 379,433, 523,704.84 and 218,381.06 is: 301,416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,433 : 523,704.84 = 218,381.06 : x
  2. Step 2: Convert to fraction form
    379,433/523,704.84 = 218,381.06/x
  3. Step 3: Cross multiply
    379,433x = 523,704.84 × 218,381.06
  4. Step 4: Simplify right side
    379,433x = 114,367,218,086.33
  5. Step 5: Solve for x
    x = 114,367,218,086.33/379,433
  6. Step 6: Final answer
    x = 301,416.11

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1.5x scale

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.