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Finding the Fourth Proportional to 428,046.28, 642,248.62 and 188,036.38

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Solution

The fourth proportional to 428,046.28, 642,248.62 and 188,036.38 is: 282,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,046.28 : 642,248.62 = 188,036.38 : x
  2. Step 2: Convert to fraction form
    428,046.28/642,248.62 = 188,036.38/x
  3. Step 3: Cross multiply
    428,046.28x = 642,248.62 × 188,036.38
  4. Step 4: Simplify right side
    428,046.28x = 120,766,105,564.80
  5. Step 5: Solve for x
    x = 120,766,105,564.80/428,046.28
  6. Step 6: Final answer
    x = 282,133.29

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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.