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Finding the Fourth Proportional to 299,600.64, 413,406.72 and 172,229.76

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Solution

The fourth proportional to 299,600.64, 413,406.72 and 172,229.76 is: 237,652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,600.64 : 413,406.72 = 172,229.76 : x
  2. Step 2: Convert to fraction form
    299,600.64/413,406.72 = 172,229.76/x
  3. Step 3: Cross multiply
    299,600.64x = 413,406.72 × 172,229.76
  4. Step 4: Simplify right side
    299,600.64x = 71,200,940,167.99
  5. Step 5: Solve for x
    x = 71,200,940,167.99/299,600.64
  6. Step 6: Final answer
    x = 237,652.83

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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.