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Finding the Fourth Proportional to 299,576.31, 413,418.11 and 170,508.47

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Solution

The fourth proportional to 299,576.31, 413,418.11 and 170,508.47 is: 235,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,576.31 : 413,418.11 = 170,508.47 : x
  2. Step 2: Convert to fraction form
    299,576.31/413,418.11 = 170,508.47/x
  3. Step 3: Cross multiply
    299,576.31x = 413,418.11 × 170,508.47
  4. Step 4: Simplify right side
    299,576.31x = 70,491,286,486.76
  5. Step 5: Solve for x
    x = 70,491,286,486.76/299,576.31
  6. Step 6: Final answer
    x = 235,303.27

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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.