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Finding the Fourth Proportional to 428,200.30, 642,106.05 and 161,872.30

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Solution

The fourth proportional to 428,200.30, 642,106.05 and 161,872.30 is: 242,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,200.30 : 642,106.05 = 161,872.30 : x
  2. Step 2: Convert to fraction form
    428,200.30/642,106.05 = 161,872.30/x
  3. Step 3: Cross multiply
    428,200.30x = 642,106.05 × 161,872.30
  4. Step 4: Simplify right side
    428,200.30x = 103,939,183,157.42
  5. Step 5: Solve for x
    x = 103,939,183,157.42/428,200.30
  6. Step 6: Final answer
    x = 242,734.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.