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Finding the Fourth Proportional to 489,288.96, 674,593.92 and 316,902.48

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Solution

The fourth proportional to 489,288.96, 674,593.92 and 316,902.48 is: 436,920.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,288.96 : 674,593.92 = 316,902.48 : x
  2. Step 2: Convert to fraction form
    489,288.96/674,593.92 = 316,902.48/x
  3. Step 3: Cross multiply
    489,288.96x = 674,593.92 × 316,902.48
  4. Step 4: Simplify right side
    489,288.96x = 213,780,486,240.92
  5. Step 5: Solve for x
    x = 213,780,486,240.92/489,288.96
  6. Step 6: Final answer
    x = 436,920.72

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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.