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Finding the Fourth Proportional to 469,572.29, 647,290.73 and 287,947.41

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Solution

The fourth proportional to 469,572.29, 647,290.73 and 287,947.41 is: 396,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,572.29 : 647,290.73 = 287,947.41 : x
  2. Step 2: Convert to fraction form
    469,572.29/647,290.73 = 287,947.41/x
  3. Step 3: Cross multiply
    469,572.29x = 647,290.73 × 287,947.41
  4. Step 4: Simplify right side
    469,572.29x = 186,385,685,893.33
  5. Step 5: Solve for x
    x = 186,385,685,893.33/469,572.29
  6. Step 6: Final answer
    x = 396,926.50

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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.