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Finding the Fourth Proportional to 321,643.56, 443,888.25 and 185,702.43

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Solution

The fourth proportional to 321,643.56, 443,888.25 and 185,702.43 is: 256,280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,643.56 : 443,888.25 = 185,702.43 : x
  2. Step 2: Convert to fraction form
    321,643.56/443,888.25 = 185,702.43/x
  3. Step 3: Cross multiply
    321,643.56x = 443,888.25 × 185,702.43
  4. Step 4: Simplify right side
    321,643.56x = 82,431,126,673.45
  5. Step 5: Solve for x
    x = 82,431,126,673.45/321,643.56
  6. Step 6: Final answer
    x = 256,280.98

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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.