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Finding the Fourth Proportional to 200,785.43, 301,215.00 and 163,674.78

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Solution

The fourth proportional to 200,785.43, 301,215.00 and 163,674.78 is: 245,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,785.43 : 301,215.00 = 163,674.78 : x
  2. Step 2: Convert to fraction form
    200,785.43/301,215.00 = 163,674.78/x
  3. Step 3: Cross multiply
    200,785.43x = 301,215.00 × 163,674.78
  4. Step 4: Simplify right side
    200,785.43x = 49,301,298,341.92
  5. Step 5: Solve for x
    x = 49,301,298,341.92/200,785.43
  6. Step 6: Final answer
    x = 245,542.21

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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.