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Finding the Fourth Proportional to 489,966.76, 676,091.41 and 285,970.90

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Solution

The fourth proportional to 489,966.76, 676,091.41 and 285,970.90 is: 394,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,966.76 : 676,091.41 = 285,970.90 : x
  2. Step 2: Convert to fraction form
    489,966.76/676,091.41 = 285,970.90/x
  3. Step 3: Cross multiply
    489,966.76x = 676,091.41 × 285,970.90
  4. Step 4: Simplify right side
    489,966.76x = 193,342,468,999.97
  5. Step 5: Solve for x
    x = 193,342,468,999.97/489,966.76
  6. Step 6: Final answer
    x = 394,603.24

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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.