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Finding the Fourth Proportional to 200,564.64, 300,682.80 and 100,604.16

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Solution

The fourth proportional to 200,564.64, 300,682.80 and 100,604.16 is: 150,823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,564.64 : 300,682.80 = 100,604.16 : x
  2. Step 2: Convert to fraction form
    200,564.64/300,682.80 = 100,604.16/x
  3. Step 3: Cross multiply
    200,564.64x = 300,682.80 × 100,604.16
  4. Step 4: Simplify right side
    200,564.64x = 30,249,940,520.45
  5. Step 5: Solve for x
    x = 30,249,940,520.45/200,564.64
  6. Step 6: Final answer
    x = 150,823.90

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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.