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Finding the Fourth Proportional to 379,207, 523,305.68 and 209,452.08

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Solution

The fourth proportional to 379,207, 523,305.68 and 209,452.08 is: 289,043.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,207 : 523,305.68 = 209,452.08 : x
  2. Step 2: Convert to fraction form
    379,207/523,305.68 = 209,452.08/x
  3. Step 3: Cross multiply
    379,207x = 523,305.68 × 209,452.08
  4. Step 4: Simplify right side
    379,207x = 109,607,463,151.81
  5. Step 5: Solve for x
    x = 109,607,463,151.81/379,207
  6. Step 6: Final answer
    x = 289,043.88

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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.