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Finding the Fourth Proportional to 489,005.34, 674,826.92 and 274,145.46

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Solution

The fourth proportional to 489,005.34, 674,826.92 and 274,145.46 is: 378,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,005.34 : 674,826.92 = 274,145.46 : x
  2. Step 2: Convert to fraction form
    489,005.34/674,826.92 = 274,145.46/x
  3. Step 3: Cross multiply
    489,005.34x = 674,826.92 × 274,145.46
  4. Step 4: Simplify right side
    489,005.34x = 185,000,736,403.78
  5. Step 5: Solve for x
    x = 185,000,736,403.78/489,005.34
  6. Step 6: Final answer
    x = 378,320.48

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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.