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Finding the Fourth Proportional to 212,361.76, 318,168.96 and 199,719.28

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Solution

The fourth proportional to 212,361.76, 318,168.96 and 199,719.28 is: 299,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,361.76 : 318,168.96 = 199,719.28 : x
  2. Step 2: Convert to fraction form
    212,361.76/318,168.96 = 199,719.28/x
  3. Step 3: Cross multiply
    212,361.76x = 318,168.96 × 199,719.28
  4. Step 4: Simplify right side
    212,361.76x = 63,544,475,609.55
  5. Step 5: Solve for x
    x = 63,544,475,609.55/212,361.76
  6. Step 6: Final answer
    x = 299,227.49

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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.