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Finding the Fourth Proportional to 321,513.45, 443,725.10 and 185,583.88

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Solution

The fourth proportional to 321,513.45, 443,725.10 and 185,583.88 is: 256,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,513.45 : 443,725.10 = 185,583.88 : x
  2. Step 2: Convert to fraction form
    321,513.45/443,725.10 = 185,583.88/x
  3. Step 3: Cross multiply
    321,513.45x = 443,725.10 × 185,583.88
  4. Step 4: Simplify right side
    321,513.45x = 82,348,227,543.02
  5. Step 5: Solve for x
    x = 82,348,227,543.02/321,513.45
  6. Step 6: Final answer
    x = 256,126.85

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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.