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Finding the Fourth Proportional to 489,709.46, 675,867.21 and 271,967.06

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Solution

The fourth proportional to 489,709.46, 675,867.21 and 271,967.06 is: 375,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,709.46 : 675,867.21 = 271,967.06 : x
  2. Step 2: Convert to fraction form
    489,709.46/675,867.21 = 271,967.06/x
  3. Step 3: Cross multiply
    489,709.46x = 675,867.21 × 271,967.06
  4. Step 4: Simplify right side
    489,709.46x = 183,813,618,054.10
  5. Step 5: Solve for x
    x = 183,813,618,054.10/489,709.46
  6. Step 6: Final answer
    x = 375,352.39

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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.