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Finding the Fourth Proportional to 864,497.22, 1,296,630.97 and 257,274.64

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Solution

The fourth proportional to 864,497.22, 1,296,630.97 and 257,274.64 is: 385,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,497.22 : 1,296,630.97 = 257,274.64 : x
  2. Step 2: Convert to fraction form
    864,497.22/1,296,630.97 = 257,274.64/x
  3. Step 3: Cross multiply
    864,497.22x = 1,296,630.97 × 257,274.64
  4. Step 4: Simplify right side
    864,497.22x = 333,590,266,997.20
  5. Step 5: Solve for x
    x = 333,590,266,997.20/864,497.22
  6. Step 6: Final answer
    x = 385,877.78

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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.