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Finding the Fourth Proportional to 489,445.88, 733,299.78 and 204,509.17

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Solution

The fourth proportional to 489,445.88, 733,299.78 and 204,509.17 is: 306,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,445.88 : 733,299.78 = 204,509.17 : x
  2. Step 2: Convert to fraction form
    489,445.88/733,299.78 = 204,509.17/x
  3. Step 3: Cross multiply
    489,445.88x = 733,299.78 × 204,509.17
  4. Step 4: Simplify right side
    489,445.88x = 149,966,529,368.98
  5. Step 5: Solve for x
    x = 149,966,529,368.98/489,445.88
  6. Step 6: Final answer
    x = 306,400.64

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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.