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Finding the Fourth Proportional to 412,512.88, 569,139.96 and 231,199.64

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Solution

The fourth proportional to 412,512.88, 569,139.96 and 231,199.64 is: 318,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,512.88 : 569,139.96 = 231,199.64 : x
  2. Step 2: Convert to fraction form
    412,512.88/569,139.96 = 231,199.64/x
  3. Step 3: Cross multiply
    412,512.88x = 569,139.96 × 231,199.64
  4. Step 4: Simplify right side
    412,512.88x = 131,584,953,861.61
  5. Step 5: Solve for x
    x = 131,584,953,861.61/412,512.88
  6. Step 6: Final answer
    x = 318,983.87

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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.