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Finding the Fourth Proportional to 428,438.25, 643,089.60 and 188,658.81

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Solution

The fourth proportional to 428,438.25, 643,089.60 and 188,658.81 is: 283,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,438.25 : 643,089.60 = 188,658.81 : x
  2. Step 2: Convert to fraction form
    428,438.25/643,089.60 = 188,658.81/x
  3. Step 3: Cross multiply
    428,438.25x = 643,089.60 × 188,658.81
  4. Step 4: Simplify right side
    428,438.25x = 121,324,518,659.38
  5. Step 5: Solve for x
    x = 121,324,518,659.38/428,438.25
  6. Step 6: Final answer
    x = 283,178.54

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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.