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Finding the Fourth Proportional to 200,725.29, 299,536.84 and 178,360.79

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Solution

The fourth proportional to 200,725.29, 299,536.84 and 178,360.79 is: 266,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,725.29 : 299,536.84 = 178,360.79 : x
  2. Step 2: Convert to fraction form
    200,725.29/299,536.84 = 178,360.79/x
  3. Step 3: Cross multiply
    200,725.29x = 299,536.84 × 178,360.79
  4. Step 4: Simplify right side
    200,725.29x = 53,425,625,138.49
  5. Step 5: Solve for x
    x = 53,425,625,138.49/200,725.29
  6. Step 6: Final answer
    x = 266,162.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.