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Finding the Fourth Proportional to 489,662.72, 675,746.64 and 274,819.12

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Solution

The fourth proportional to 489,662.72, 675,746.64 and 274,819.12 is: 379,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,662.72 : 675,746.64 = 274,819.12 : x
  2. Step 2: Convert to fraction form
    489,662.72/675,746.64 = 274,819.12/x
  3. Step 3: Cross multiply
    489,662.72x = 675,746.64 × 274,819.12
  4. Step 4: Simplify right side
    489,662.72x = 185,708,096,947.76
  5. Step 5: Solve for x
    x = 185,708,096,947.76/489,662.72
  6. Step 6: Final answer
    x = 379,257.17

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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.