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Finding the Fourth Proportional to 428,230.40, 641,678.40 and 161,845.60

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Solution

The fourth proportional to 428,230.40, 641,678.40 and 161,845.60 is: 242,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,230.40 : 641,678.40 = 161,845.60 : x
  2. Step 2: Convert to fraction form
    428,230.40/641,678.40 = 161,845.60/x
  3. Step 3: Cross multiply
    428,230.40x = 641,678.40 × 161,845.60
  4. Step 4: Simplify right side
    428,230.40x = 103,852,825,655.04
  5. Step 5: Solve for x
    x = 103,852,825,655.04/428,230.40
  6. Step 6: Final answer
    x = 242,516.24

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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.