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Finding the Fourth Proportional to 469,580.82, 647,302.52 and 287,955.96

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Solution

The fourth proportional to 469,580.82, 647,302.52 and 287,955.96 is: 396,938.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,580.82 : 647,302.52 = 287,955.96 : x
  2. Step 2: Convert to fraction form
    469,580.82/647,302.52 = 287,955.96/x
  3. Step 3: Cross multiply
    469,580.82x = 647,302.52 × 287,955.96
  4. Step 4: Simplify right side
    469,580.82x = 186,394,618,557.02
  5. Step 5: Solve for x
    x = 186,394,618,557.02/469,580.82
  6. Step 6: Final answer
    x = 396,938.31

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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.