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Finding the Fourth Proportional to 379,069.17, 523,101.72 and 209,299.65

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Solution

The fourth proportional to 379,069.17, 523,101.72 and 209,299.65 is: 288,825.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,069.17 : 523,101.72 = 209,299.65 : x
  2. Step 2: Convert to fraction form
    379,069.17/523,101.72 = 209,299.65/x
  3. Step 3: Cross multiply
    379,069.17x = 523,101.72 × 209,299.65
  4. Step 4: Simplify right side
    379,069.17x = 109,485,006,910.40
  5. Step 5: Solve for x
    x = 109,485,006,910.40/379,069.17
  6. Step 6: Final answer
    x = 288,825.93

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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.