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Finding the Fourth Proportional to 428,958.27, 643,421.22 and 129,430.86

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Solution

The fourth proportional to 428,958.27, 643,421.22 and 129,430.86 is: 194,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,958.27 : 643,421.22 = 129,430.86 : x
  2. Step 2: Convert to fraction form
    428,958.27/643,421.22 = 129,430.86/x
  3. Step 3: Cross multiply
    428,958.27x = 643,421.22 × 129,430.86
  4. Step 4: Simplify right side
    428,958.27x = 83,278,561,846.85
  5. Step 5: Solve for x
    x = 83,278,561,846.85/428,958.27
  6. Step 6: Final answer
    x = 194,141.41

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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.