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Finding the Fourth Proportional to 297,084, 445,684.32 and 130,872

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Solution

The fourth proportional to 297,084, 445,684.32 and 130,872 is: 196,333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,084 : 445,684.32 = 130,872 : x
  2. Step 2: Convert to fraction form
    297,084/445,684.32 = 130,872/x
  3. Step 3: Cross multiply
    297,084x = 445,684.32 × 130,872
  4. Step 4: Simplify right side
    297,084x = 58,327,598,327.04
  5. Step 5: Solve for x
    x = 58,327,598,327.04/297,084
  6. Step 6: Final answer
    x = 196,333.69

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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.