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Finding the Fourth Proportional to 328,049.72, 452,742.08 and 200,809.40

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Solution

The fourth proportional to 328,049.72, 452,742.08 and 200,809.40 is: 277,137.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,049.72 : 452,742.08 = 200,809.40 : x
  2. Step 2: Convert to fraction form
    328,049.72/452,742.08 = 200,809.40/x
  3. Step 3: Cross multiply
    328,049.72x = 452,742.08 × 200,809.40
  4. Step 4: Simplify right side
    328,049.72x = 90,914,865,439.55
  5. Step 5: Solve for x
    x = 90,914,865,439.55/328,049.72
  6. Step 6: Final answer
    x = 277,137.46

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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.