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Finding the Fourth Proportional to 299,656, 413,525.28 and 172,328.86

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Solution

The fourth proportional to 299,656, 413,525.28 and 172,328.86 is: 237,813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,656 : 413,525.28 = 172,328.86 : x
  2. Step 2: Convert to fraction form
    299,656/413,525.28 = 172,328.86/x
  3. Step 3: Cross multiply
    299,656x = 413,525.28 × 172,328.86
  4. Step 4: Simplify right side
    299,656x = 71,262,340,083.58
  5. Step 5: Solve for x
    x = 71,262,340,083.58/299,656
  6. Step 6: Final answer
    x = 237,813.83

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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.