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Finding the Fourth Proportional to 323,782.96, 446,569.32 and 287,522.50

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Solution

The fourth proportional to 323,782.96, 446,569.32 and 287,522.50 is: 396,558.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,782.96 : 446,569.32 = 287,522.50 : x
  2. Step 2: Convert to fraction form
    323,782.96/446,569.32 = 287,522.50/x
  3. Step 3: Cross multiply
    323,782.96x = 446,569.32 × 287,522.50
  4. Step 4: Simplify right side
    323,782.96x = 128,398,727,309.70
  5. Step 5: Solve for x
    x = 128,398,727,309.70/323,782.96
  6. Step 6: Final answer
    x = 396,558.01

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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.