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Finding the Fourth Proportional to 379,065.66, 523,096.92 and 209,296.14

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Solution

The fourth proportional to 379,065.66, 523,096.92 and 209,296.14 is: 288,821.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,065.66 : 523,096.92 = 209,296.14 : x
  2. Step 2: Convert to fraction form
    379,065.66/523,096.92 = 209,296.14/x
  3. Step 3: Cross multiply
    379,065.66x = 523,096.92 × 209,296.14
  4. Step 4: Simplify right side
    379,065.66x = 109,482,166,201.89
  5. Step 5: Solve for x
    x = 109,482,166,201.89/379,065.66
  6. Step 6: Final answer
    x = 288,821.11

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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.