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Finding the Fourth Proportional to 320,806.72, 442,419.12 and 275,469.28

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Solution

The fourth proportional to 320,806.72, 442,419.12 and 275,469.28 is: 379,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,806.72 : 442,419.12 = 275,469.28 : x
  2. Step 2: Convert to fraction form
    320,806.72/442,419.12 = 275,469.28/x
  3. Step 3: Cross multiply
    320,806.72x = 442,419.12 × 275,469.28
  4. Step 4: Simplify right side
    320,806.72x = 121,872,876,444.63
  5. Step 5: Solve for x
    x = 121,872,876,444.63/320,806.72
  6. Step 6: Final answer
    x = 379,895.02

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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.