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Finding the Fourth Proportional to 322,431.72, 444,920.28 and 186,445.02

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Solution

The fourth proportional to 322,431.72, 444,920.28 and 186,445.02 is: 257,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,431.72 : 444,920.28 = 186,445.02 : x
  2. Step 2: Convert to fraction form
    322,431.72/444,920.28 = 186,445.02/x
  3. Step 3: Cross multiply
    322,431.72x = 444,920.28 × 186,445.02
  4. Step 4: Simplify right side
    322,431.72x = 82,953,170,503.01
  5. Step 5: Solve for x
    x = 82,953,170,503.01/322,431.72
  6. Step 6: Final answer
    x = 257,273.60

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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.