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Finding the Fourth Proportional to 323,781.96, 446,567.94 and 287,521.50

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Solution

The fourth proportional to 323,781.96, 446,567.94 and 287,521.50 is: 396,556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,781.96 : 446,567.94 = 287,521.50 : x
  2. Step 2: Convert to fraction form
    323,781.96/446,567.94 = 287,521.50/x
  3. Step 3: Cross multiply
    323,781.96x = 446,567.94 × 287,521.50
  4. Step 4: Simplify right side
    323,781.96x = 128,397,883,960.71
  5. Step 5: Solve for x
    x = 128,397,883,960.71/323,781.96
  6. Step 6: Final answer
    x = 396,556.63

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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.