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Finding the Fourth Proportional to 411,018, 616,527 and 115,530

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Solution

The fourth proportional to 411,018, 616,527 and 115,530 is: 173,295

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,018 : 616,527 = 115,530 : x
  2. Step 2: Convert to fraction form
    411,018/616,527 = 115,530/x
  3. Step 3: Cross multiply
    411,018x = 616,527 × 115,530
  4. Step 4: Simplify right side
    411,018x = 71,227,364,310
  5. Step 5: Solve for x
    x = 71,227,364,310/411,018
  6. Step 6: Final answer
    x = 173,295

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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.