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Finding the Fourth Proportional to 311,902.48, 430,425.46 and 168,662.52

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Solution

The fourth proportional to 311,902.48, 430,425.46 and 168,662.52 is: 232,754.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,902.48 : 430,425.46 = 168,662.52 : x
  2. Step 2: Convert to fraction form
    311,902.48/430,425.46 = 168,662.52/x
  3. Step 3: Cross multiply
    311,902.48x = 430,425.46 × 168,662.52
  4. Step 4: Simplify right side
    311,902.48x = 72,596,642,755.76
  5. Step 5: Solve for x
    x = 72,596,642,755.76/311,902.48
  6. Step 6: Final answer
    x = 232,754.30

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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.