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Finding the Fourth Proportional to 489,380.90, 733,834.02 and 287,043.12

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Solution

The fourth proportional to 489,380.90, 733,834.02 and 287,043.12 is: 430,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,380.90 : 733,834.02 = 287,043.12 : x
  2. Step 2: Convert to fraction form
    489,380.90/733,834.02 = 287,043.12/x
  3. Step 3: Cross multiply
    489,380.90x = 733,834.02 × 287,043.12
  4. Step 4: Simplify right side
    489,380.90x = 210,642,006,662.94
  5. Step 5: Solve for x
    x = 210,642,006,662.94/489,380.90
  6. Step 6: Final answer
    x = 430,425.48

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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.