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Finding the Fourth Proportional to 311,396.76, 429,797.48 and 203,904.36

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Solution

The fourth proportional to 311,396.76, 429,797.48 and 203,904.36 is: 281,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,396.76 : 429,797.48 = 203,904.36 : x
  2. Step 2: Convert to fraction form
    311,396.76/429,797.48 = 203,904.36/x
  3. Step 3: Cross multiply
    311,396.76x = 429,797.48 × 203,904.36
  4. Step 4: Simplify right side
    311,396.76x = 87,637,579,069.49
  5. Step 5: Solve for x
    x = 87,637,579,069.49/311,396.76
  6. Step 6: Final answer
    x = 281,433.82

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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.