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Finding the Fourth Proportional to 297,006, 409,887.84 and 162,870

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Solution

The fourth proportional to 297,006, 409,887.84 and 162,870 is: 224,771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,006 : 409,887.84 = 162,870 : x
  2. Step 2: Convert to fraction form
    297,006/409,887.84 = 162,870/x
  3. Step 3: Cross multiply
    297,006x = 409,887.84 × 162,870
  4. Step 4: Simplify right side
    297,006x = 66,758,432,500.80
  5. Step 5: Solve for x
    x = 66,758,432,500.80/297,006
  6. Step 6: Final answer
    x = 224,771.33

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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.