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Finding the Fourth Proportional to 299,414.53, 413,136.77 and 170,345.47

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Solution

The fourth proportional to 299,414.53, 413,136.77 and 170,345.47 is: 235,045.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,414.53 : 413,136.77 = 170,345.47 : x
  2. Step 2: Convert to fraction form
    299,414.53/413,136.77 = 170,345.47/x
  3. Step 3: Cross multiply
    299,414.53x = 413,136.77 × 170,345.47
  4. Step 4: Simplify right side
    299,414.53x = 70,375,977,259.93
  5. Step 5: Solve for x
    x = 70,375,977,259.93/299,414.53
  6. Step 6: Final answer
    x = 235,045.30

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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.