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Finding the Fourth Proportional to 428,965.72, 643,453.52 and 129,448.88

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Solution

The fourth proportional to 428,965.72, 643,453.52 and 129,448.88 is: 194,174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,965.72 : 643,453.52 = 129,448.88 : x
  2. Step 2: Convert to fraction form
    428,965.72/643,453.52 = 129,448.88/x
  3. Step 3: Cross multiply
    428,965.72x = 643,453.52 × 129,448.88
  4. Step 4: Simplify right side
    428,965.72x = 83,294,337,496.06
  5. Step 5: Solve for x
    x = 83,294,337,496.06/428,965.72
  6. Step 6: Final answer
    x = 194,174.81

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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.