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Finding the Fourth Proportional to 469,555.96, 647,998.32 and 285,731.32

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Solution

The fourth proportional to 469,555.96, 647,998.32 and 285,731.32 is: 394,315.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,555.96 : 647,998.32 = 285,731.32 : x
  2. Step 2: Convert to fraction form
    469,555.96/647,998.32 = 285,731.32/x
  3. Step 3: Cross multiply
    469,555.96x = 647,998.32 × 285,731.32
  4. Step 4: Simplify right side
    469,555.96x = 185,153,415,331.38
  5. Step 5: Solve for x
    x = 185,153,415,331.38/469,555.96
  6. Step 6: Final answer
    x = 394,315.97

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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.