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Finding the Fourth Proportional to 411,026, 616,539 and 115,538

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Solution

The fourth proportional to 411,026, 616,539 and 115,538 is: 173,307

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,026 : 616,539 = 115,538 : x
  2. Step 2: Convert to fraction form
    411,026/616,539 = 115,538/x
  3. Step 3: Cross multiply
    411,026x = 616,539 × 115,538
  4. Step 4: Simplify right side
    411,026x = 71,233,682,982
  5. Step 5: Solve for x
    x = 71,233,682,982/411,026
  6. Step 6: Final answer
    x = 173,307

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.