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Finding the Fourth Proportional to 489,228, 675,135.86 and 285,419.04

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Solution

The fourth proportional to 489,228, 675,135.86 and 285,419.04 is: 393,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,228 : 675,135.86 = 285,419.04 : x
  2. Step 2: Convert to fraction form
    489,228/675,135.86 = 285,419.04/x
  3. Step 3: Cross multiply
    489,228x = 675,135.86 × 285,419.04
  4. Step 4: Simplify right side
    489,228x = 192,696,627,603.68
  5. Step 5: Solve for x
    x = 192,696,627,603.68/489,228
  6. Step 6: Final answer
    x = 393,878.98

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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.