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Finding the Fourth Proportional to 489,645.76, 675,716.16 and 271,858

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Solution

The fourth proportional to 489,645.76, 675,716.16 and 271,858 is: 375,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,645.76 : 675,716.16 = 271,858 : x
  2. Step 2: Convert to fraction form
    489,645.76/675,716.16 = 271,858/x
  3. Step 3: Cross multiply
    489,645.76x = 675,716.16 × 271,858
  4. Step 4: Simplify right side
    489,645.76x = 183,698,843,825.28
  5. Step 5: Solve for x
    x = 183,698,843,825.28/489,645.76
  6. Step 6: Final answer
    x = 375,166.82

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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.