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Finding the Fourth Proportional to 428,124.99, 641,723.96 and 278,472.22

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Solution

The fourth proportional to 428,124.99, 641,723.96 and 278,472.22 is: 417,406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,124.99 : 641,723.96 = 278,472.22 : x
  2. Step 2: Convert to fraction form
    428,124.99/641,723.96 = 278,472.22/x
  3. Step 3: Cross multiply
    428,124.99x = 641,723.96 × 278,472.22
  4. Step 4: Simplify right side
    428,124.99x = 178,702,296,676.52
  5. Step 5: Solve for x
    x = 178,702,296,676.52/428,124.99
  6. Step 6: Final answer
    x = 417,406.84

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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.