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Finding the Fourth Proportional to 512,052.76, 768,078.28 and 212,333.32

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Solution

The fourth proportional to 512,052.76, 768,078.28 and 212,333.32 is: 318,499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,052.76 : 768,078.28 = 212,333.32 : x
  2. Step 2: Convert to fraction form
    512,052.76/768,078.28 = 212,333.32/x
  3. Step 3: Cross multiply
    512,052.76x = 768,078.28 × 212,333.32
  4. Step 4: Simplify right side
    512,052.76x = 163,088,611,212.29
  5. Step 5: Solve for x
    x = 163,088,611,212.29/512,052.76
  6. Step 6: Final answer
    x = 318,499.62

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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.