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Finding the Fourth Proportional to 430,614.44, 646,059.96 and 131,153

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Solution

The fourth proportional to 430,614.44, 646,059.96 and 131,153 is: 196,771.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,614.44 : 646,059.96 = 131,153 : x
  2. Step 2: Convert to fraction form
    430,614.44/646,059.96 = 131,153/x
  3. Step 3: Cross multiply
    430,614.44x = 646,059.96 × 131,153
  4. Step 4: Simplify right side
    430,614.44x = 84,732,701,933.88
  5. Step 5: Solve for x
    x = 84,732,701,933.88/430,614.44
  6. Step 6: Final answer
    x = 196,771.62

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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.