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Finding the Fourth Proportional to 285,674.42, 394,234.62 and 156,625.04

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Solution

The fourth proportional to 285,674.42, 394,234.62 and 156,625.04 is: 216,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,674.42 : 394,234.62 = 156,625.04 : x
  2. Step 2: Convert to fraction form
    285,674.42/394,234.62 = 156,625.04/x
  3. Step 3: Cross multiply
    285,674.42x = 394,234.62 × 156,625.04
  4. Step 4: Simplify right side
    285,674.42x = 61,747,013,126.88
  5. Step 5: Solve for x
    x = 61,747,013,126.88/285,674.42
  6. Step 6: Final answer
    x = 216,144.70

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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.