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Finding the Fourth Proportional to 299,520, 413,337.60 and 193,536

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Solution

The fourth proportional to 299,520, 413,337.60 and 193,536 is: 267,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,520 : 413,337.60 = 193,536 : x
  2. Step 2: Convert to fraction form
    299,520/413,337.60 = 193,536/x
  3. Step 3: Cross multiply
    299,520x = 413,337.60 × 193,536
  4. Step 4: Simplify right side
    299,520x = 79,995,705,753.60
  5. Step 5: Solve for x
    x = 79,995,705,753.60/299,520
  6. Step 6: Final answer
    x = 267,079.68

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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.