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Finding the Fourth Proportional to 299,576.66, 413,418.21 and 165,440.66

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Solution

The fourth proportional to 299,576.66, 413,418.21 and 165,440.66 is: 228,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,576.66 : 413,418.21 = 165,440.66 : x
  2. Step 2: Convert to fraction form
    299,576.66/413,418.21 = 165,440.66/x
  3. Step 3: Cross multiply
    299,576.66x = 413,418.21 × 165,440.66
  4. Step 4: Simplify right side
    299,576.66x = 68,396,181,518.42
  5. Step 5: Solve for x
    x = 68,396,181,518.42/299,576.66
  6. Step 6: Final answer
    x = 228,309.45

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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.