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Finding the Fourth Proportional to 865,158, 1,297,737 and 274,182

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Solution

The fourth proportional to 865,158, 1,297,737 and 274,182 is: 411,273

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,158 : 1,297,737 = 274,182 : x
  2. Step 2: Convert to fraction form
    865,158/1,297,737 = 274,182/x
  3. Step 3: Cross multiply
    865,158x = 1,297,737 × 274,182
  4. Step 4: Simplify right side
    865,158x = 355,816,126,134
  5. Step 5: Solve for x
    x = 355,816,126,134/865,158
  6. Step 6: Final answer
    x = 411,273

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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.