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Finding the Fourth Proportional to 428,412.10, 641,942.24 and 158,168.62

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Solution

The fourth proportional to 428,412.10, 641,942.24 and 158,168.62 is: 237,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,412.10 : 641,942.24 = 158,168.62 : x
  2. Step 2: Convert to fraction form
    428,412.10/641,942.24 = 158,168.62/x
  3. Step 3: Cross multiply
    428,412.10x = 641,942.24 × 158,168.62
  4. Step 4: Simplify right side
    428,412.10x = 101,535,118,220.51
  5. Step 5: Solve for x
    x = 101,535,118,220.51/428,412.10
  6. Step 6: Final answer
    x = 237,003.39

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1.5x scale

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.