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Finding the Fourth Proportional to 323,171.81, 445,646.32 and 214,238.25

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Solution

The fourth proportional to 323,171.81, 445,646.32 and 214,238.25 is: 295,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,171.81 : 445,646.32 = 214,238.25 : x
  2. Step 2: Convert to fraction form
    323,171.81/445,646.32 = 214,238.25/x
  3. Step 3: Cross multiply
    323,171.81x = 445,646.32 × 214,238.25
  4. Step 4: Simplify right side
    323,171.81x = 95,474,487,715.74
  5. Step 5: Solve for x
    x = 95,474,487,715.74/323,171.81
  6. Step 6: Final answer
    x = 295,429.50

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1.5x scale

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.