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Finding the Fourth Proportional to 200,709.78, 300,474.16 and 133,984.40

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Solution

The fourth proportional to 200,709.78, 300,474.16 and 133,984.40 is: 200,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,709.78 : 300,474.16 = 133,984.40 : x
  2. Step 2: Convert to fraction form
    200,709.78/300,474.16 = 133,984.40/x
  3. Step 3: Cross multiply
    200,709.78x = 300,474.16 × 133,984.40
  4. Step 4: Simplify right side
    200,709.78x = 40,258,850,043.10
  5. Step 5: Solve for x
    x = 40,258,850,043.10/200,709.78
  6. Step 6: Final answer
    x = 200,582.40

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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.