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Finding the Fourth Proportional to 289,401, 399,373.52 and 162,076.64

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Solution

The fourth proportional to 289,401, 399,373.52 and 162,076.64 is: 223,665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,401 : 399,373.52 = 162,076.64 : x
  2. Step 2: Convert to fraction form
    289,401/399,373.52 = 162,076.64/x
  3. Step 3: Cross multiply
    289,401x = 399,373.52 × 162,076.64
  4. Step 4: Simplify right side
    289,401x = 64,729,115,419.32
  5. Step 5: Solve for x
    x = 64,729,115,419.32/289,401
  6. Step 6: Final answer
    x = 223,665.83

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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.