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Finding the Fourth Proportional to 323,665.96, 446,850.53 and 287,756.74

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Solution

The fourth proportional to 323,665.96, 446,850.53 and 287,756.74 is: 397,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,665.96 : 446,850.53 = 287,756.74 : x
  2. Step 2: Convert to fraction form
    323,665.96/446,850.53 = 287,756.74/x
  3. Step 3: Cross multiply
    323,665.96x = 446,850.53 × 287,756.74
  4. Step 4: Simplify right side
    323,665.96x = 128,584,250,303.25
  5. Step 5: Solve for x
    x = 128,584,250,303.25/323,665.96
  6. Step 6: Final answer
    x = 397,274.55

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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.