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Finding the Fourth Proportional to 489,206.73, 675,137.22 and 282,483.84

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Solution

The fourth proportional to 489,206.73, 675,137.22 and 282,483.84 is: 389,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,206.73 : 675,137.22 = 282,483.84 : x
  2. Step 2: Convert to fraction form
    489,206.73/675,137.22 = 282,483.84/x
  3. Step 3: Cross multiply
    489,206.73x = 675,137.22 × 282,483.84
  4. Step 4: Simplify right side
    489,206.73x = 190,715,354,432.53
  5. Step 5: Solve for x
    x = 190,715,354,432.53/489,206.73
  6. Step 6: Final answer
    x = 389,846.14

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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.