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Finding the Fourth Proportional to 820,158, 1,230,237 and 229,182

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Solution

The fourth proportional to 820,158, 1,230,237 and 229,182 is: 343,773

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,158 : 1,230,237 = 229,182 : x
  2. Step 2: Convert to fraction form
    820,158/1,230,237 = 229,182/x
  3. Step 3: Cross multiply
    820,158x = 1,230,237 × 229,182
  4. Step 4: Simplify right side
    820,158x = 281,948,176,134
  5. Step 5: Solve for x
    x = 281,948,176,134/820,158
  6. Step 6: Final answer
    x = 343,773

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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.