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Finding the Fourth Proportional to 471,046.07, 650,212.67 and 280,059

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Solution

The fourth proportional to 471,046.07, 650,212.67 and 280,059 is: 386,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,046.07 : 650,212.67 = 280,059 : x
  2. Step 2: Convert to fraction form
    471,046.07/650,212.67 = 280,059/x
  3. Step 3: Cross multiply
    471,046.07x = 650,212.67 × 280,059
  4. Step 4: Simplify right side
    471,046.07x = 182,097,908,747.24
  5. Step 5: Solve for x
    x = 182,097,908,747.24/471,046.07
  6. Step 6: Final answer
    x = 386,581.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.