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Finding the Fourth Proportional to 311,123.95, 429,238.77 and 203,755.21

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Solution

The fourth proportional to 311,123.95, 429,238.77 and 203,755.21 is: 281,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,123.95 : 429,238.77 = 203,755.21 : x
  2. Step 2: Convert to fraction form
    311,123.95/429,238.77 = 203,755.21/x
  3. Step 3: Cross multiply
    311,123.95x = 429,238.77 × 203,755.21
  4. Step 4: Simplify right side
    311,123.95x = 87,459,635,721.49
  5. Step 5: Solve for x
    x = 87,459,635,721.49/311,123.95
  6. Step 6: Final answer
    x = 281,108.66

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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.