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Finding the Fourth Proportional to 200,871.40, 300,934.32 and 143,827.60

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Solution

The fourth proportional to 200,871.40, 300,934.32 and 143,827.60 is: 215,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,871.40 : 300,934.32 = 143,827.60 : x
  2. Step 2: Convert to fraction form
    200,871.40/300,934.32 = 143,827.60/x
  3. Step 3: Cross multiply
    200,871.40x = 300,934.32 × 143,827.60
  4. Step 4: Simplify right side
    200,871.40x = 43,282,661,003.23
  5. Step 5: Solve for x
    x = 43,282,661,003.23/200,871.40
  6. Step 6: Final answer
    x = 215,474.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.