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Finding the Fourth Proportional to 489,138.40, 733,124.40 and 204,828.40

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Solution

The fourth proportional to 489,138.40, 733,124.40 and 204,828.40 is: 306,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,138.40 : 733,124.40 = 204,828.40 : x
  2. Step 2: Convert to fraction form
    489,138.40/733,124.40 = 204,828.40/x
  3. Step 3: Cross multiply
    489,138.40x = 733,124.40 × 204,828.40
  4. Step 4: Simplify right side
    489,138.40x = 150,164,697,852.96
  5. Step 5: Solve for x
    x = 150,164,697,852.96/489,138.40
  6. Step 6: Final answer
    x = 306,998.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.