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Finding the Fourth Proportional to 493,129.56, 680,512.12 and 275,341.61

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Solution

The fourth proportional to 493,129.56, 680,512.12 and 275,341.61 is: 379,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,129.56 : 680,512.12 = 275,341.61 : x
  2. Step 2: Convert to fraction form
    493,129.56/680,512.12 = 275,341.61/x
  3. Step 3: Cross multiply
    493,129.56x = 680,512.12 × 275,341.61
  4. Step 4: Simplify right side
    493,129.56x = 187,373,303,484.39
  5. Step 5: Solve for x
    x = 187,373,303,484.39/493,129.56
  6. Step 6: Final answer
    x = 379,967.70

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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.