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Finding the Fourth Proportional to 489,101.96, 674,999.82 and 271,332.12

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Solution

The fourth proportional to 489,101.96, 674,999.82 and 271,332.12 is: 374,460.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,101.96 : 674,999.82 = 271,332.12 : x
  2. Step 2: Convert to fraction form
    489,101.96/674,999.82 = 271,332.12/x
  3. Step 3: Cross multiply
    489,101.96x = 674,999.82 × 271,332.12
  4. Step 4: Simplify right side
    489,101.96x = 183,149,132,160.22
  5. Step 5: Solve for x
    x = 183,149,132,160.22/489,101.96
  6. Step 6: Final answer
    x = 374,460.02

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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.