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Finding the Fourth Proportional to 489,024.01, 674,814.37 and 274,134.86

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Solution

The fourth proportional to 489,024.01, 674,814.37 and 274,134.86 is: 378,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,024.01 : 674,814.37 = 274,134.86 : x
  2. Step 2: Convert to fraction form
    489,024.01/674,814.37 = 274,134.86/x
  3. Step 3: Cross multiply
    489,024.01x = 674,814.37 × 274,134.86
  4. Step 4: Simplify right side
    489,024.01x = 184,990,142,845.94
  5. Step 5: Solve for x
    x = 184,990,142,845.94/489,024.01
  6. Step 6: Final answer
    x = 378,284.38

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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.