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Finding the Fourth Proportional to 285,897, 394,279.62 and 178,476.96

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Solution

The fourth proportional to 285,897, 394,279.62 and 178,476.96 is: 246,136.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,897 : 394,279.62 = 178,476.96 : x
  2. Step 2: Convert to fraction form
    285,897/394,279.62 = 178,476.96/x
  3. Step 3: Cross multiply
    285,897x = 394,279.62 × 178,476.96
  4. Step 4: Simplify right side
    285,897x = 70,369,827,967.56
  5. Step 5: Solve for x
    x = 70,369,827,967.56/285,897
  6. Step 6: Final answer
    x = 246,136.99

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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.