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Finding the Fourth Proportional to 489,469.40, 733,620.90 and 205,159.40

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Solution

The fourth proportional to 489,469.40, 733,620.90 and 205,159.40 is: 307,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,469.40 : 733,620.90 = 205,159.40 : x
  2. Step 2: Convert to fraction form
    489,469.40/733,620.90 = 205,159.40/x
  3. Step 3: Cross multiply
    489,469.40x = 733,620.90 × 205,159.40
  4. Step 4: Simplify right side
    489,469.40x = 150,509,223,671.46
  5. Step 5: Solve for x
    x = 150,509,223,671.46/489,469.40
  6. Step 6: Final answer
    x = 307,494.65

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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.