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Finding the Fourth Proportional to 311,758.37, 430,189.98 and 175,784.21

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Solution

The fourth proportional to 311,758.37, 430,189.98 and 175,784.21 is: 242,561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,758.37 : 430,189.98 = 175,784.21 : x
  2. Step 2: Convert to fraction form
    311,758.37/430,189.98 = 175,784.21/x
  3. Step 3: Cross multiply
    311,758.37x = 430,189.98 × 175,784.21
  4. Step 4: Simplify right side
    311,758.37x = 75,620,603,633.27
  5. Step 5: Solve for x
    x = 75,620,603,633.27/311,758.37
  6. Step 6: Final answer
    x = 242,561.59

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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.