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Finding the Fourth Proportional to 469,581.82, 647,303.88 and 287,956.96

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Solution

The fourth proportional to 469,581.82, 647,303.88 and 287,956.96 is: 396,939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,581.82 : 647,303.88 = 287,956.96 : x
  2. Step 2: Convert to fraction form
    469,581.82/647,303.88 = 287,956.96/x
  3. Step 3: Cross multiply
    469,581.82x = 647,303.88 × 287,956.96
  4. Step 4: Simplify right side
    469,581.82x = 186,395,657,481.01
  5. Step 5: Solve for x
    x = 186,395,657,481.01/469,581.82
  6. Step 6: Final answer
    x = 396,939.68

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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.