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Finding the Fourth Proportional to 489,200.10, 733,763.70 and 204,817.20

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Solution

The fourth proportional to 489,200.10, 733,763.70 and 204,817.20 is: 307,210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,200.10 : 733,763.70 = 204,817.20 : x
  2. Step 2: Convert to fraction form
    489,200.10/733,763.70 = 204,817.20/x
  3. Step 3: Cross multiply
    489,200.10x = 733,763.70 × 204,817.20
  4. Step 4: Simplify right side
    489,200.10x = 150,287,426,495.64
  5. Step 5: Solve for x
    x = 150,287,426,495.64/489,200.10
  6. Step 6: Final answer
    x = 307,210.54

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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.