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Finding the Fourth Proportional to 311,761.37, 430,230.50 and 168,521.41

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Solution

The fourth proportional to 311,761.37, 430,230.50 and 168,521.41 is: 232,559.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,761.37 : 430,230.50 = 168,521.41 : x
  2. Step 2: Convert to fraction form
    311,761.37/430,230.50 = 168,521.41/x
  3. Step 3: Cross multiply
    311,761.37x = 430,230.50 × 168,521.41
  4. Step 4: Simplify right side
    311,761.37x = 72,503,050,485.01
  5. Step 5: Solve for x
    x = 72,503,050,485.01/311,761.37
  6. Step 6: Final answer
    x = 232,559.44

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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.