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Finding the Fourth Proportional to 612,872.64, 919,081.44 and 213,410.88

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Solution

The fourth proportional to 612,872.64, 919,081.44 and 213,410.88 is: 320,037.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,872.64 : 919,081.44 = 213,410.88 : x
  2. Step 2: Convert to fraction form
    612,872.64/919,081.44 = 213,410.88/x
  3. Step 3: Cross multiply
    612,872.64x = 919,081.44 × 213,410.88
  4. Step 4: Simplify right side
    612,872.64x = 196,141,978,902.07
  5. Step 5: Solve for x
    x = 196,141,978,902.07/612,872.64
  6. Step 6: Final answer
    x = 320,037.09

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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.