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Finding the Fourth Proportional to 285,624.50, 428,724.90 and 125,771.54

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Solution

The fourth proportional to 285,624.50, 428,724.90 and 125,771.54 is: 188,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,624.50 : 428,724.90 = 125,771.54 : x
  2. Step 2: Convert to fraction form
    285,624.50/428,724.90 = 125,771.54/x
  3. Step 3: Cross multiply
    285,624.50x = 428,724.90 × 125,771.54
  4. Step 4: Simplify right side
    285,624.50x = 53,921,388,765.72
  5. Step 5: Solve for x
    x = 53,921,388,765.72/285,624.50
  6. Step 6: Final answer
    x = 188,784.19

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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.