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Finding the Fourth Proportional to 299,372.28, 413,133.64 and 204,045.45

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Solution

The fourth proportional to 299,372.28, 413,133.64 and 204,045.45 is: 281,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,372.28 : 413,133.64 = 204,045.45 : x
  2. Step 2: Convert to fraction form
    299,372.28/413,133.64 = 204,045.45/x
  3. Step 3: Cross multiply
    299,372.28x = 413,133.64 × 204,045.45
  4. Step 4: Simplify right side
    299,372.28x = 84,298,039,483.94
  5. Step 5: Solve for x
    x = 84,298,039,483.94/299,372.28
  6. Step 6: Final answer
    x = 281,582.65

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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.