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Finding the Fourth Proportional to 489,292.10, 733,901.70 and 204,909.20

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Solution

The fourth proportional to 489,292.10, 733,901.70 and 204,909.20 is: 307,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,292.10 : 733,901.70 = 204,909.20 : x
  2. Step 2: Convert to fraction form
    489,292.10/733,901.70 = 204,909.20/x
  3. Step 3: Cross multiply
    489,292.10x = 733,901.70 × 204,909.20
  4. Step 4: Simplify right side
    489,292.10x = 150,383,210,225.64
  5. Step 5: Solve for x
    x = 150,383,210,225.64/489,292.10
  6. Step 6: Final answer
    x = 307,348.54

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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.