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Finding the Fourth Proportional to 299,639.25, 413,502.17 and 165,511.89

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Solution

The fourth proportional to 299,639.25, 413,502.17 and 165,511.89 is: 228,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,639.25 : 413,502.17 = 165,511.89 : x
  2. Step 2: Convert to fraction form
    299,639.25/413,502.17 = 165,511.89/x
  3. Step 3: Cross multiply
    299,639.25x = 413,502.17 × 165,511.89
  4. Step 4: Simplify right side
    299,639.25x = 68,439,524,848.24
  5. Step 5: Solve for x
    x = 68,439,524,848.24/299,639.25
  6. Step 6: Final answer
    x = 228,406.41

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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.