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Finding the Fourth Proportional to 299,299.38, 413,103.84 and 172,048.80

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Solution

The fourth proportional to 299,299.38, 413,103.84 and 172,048.80 is: 237,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,299.38 : 413,103.84 = 172,048.80 : x
  2. Step 2: Convert to fraction form
    299,299.38/413,103.84 = 172,048.80/x
  3. Step 3: Cross multiply
    299,299.38x = 413,103.84 × 172,048.80
  4. Step 4: Simplify right side
    299,299.38x = 71,074,019,947.39
  5. Step 5: Solve for x
    x = 71,074,019,947.39/299,299.38
  6. Step 6: Final answer
    x = 237,467.98

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1.5x scale

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.