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Finding the Fourth Proportional to 650,584.84, 976,210.82 and 313,912.60

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Solution

The fourth proportional to 650,584.84, 976,210.82 and 313,912.60 is: 471,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,584.84 : 976,210.82 = 313,912.60 : x
  2. Step 2: Convert to fraction form
    650,584.84/976,210.82 = 313,912.60/x
  3. Step 3: Cross multiply
    650,584.84x = 976,210.82 × 313,912.60
  4. Step 4: Simplify right side
    650,584.84x = 306,444,876,654.33
  5. Step 5: Solve for x
    x = 306,444,876,654.33/650,584.84
  6. Step 6: Final answer
    x = 471,029.85

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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.