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Finding the Fourth Proportional to 489,086.60, 733,629.90 and 405,105.80

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Solution

The fourth proportional to 489,086.60, 733,629.90 and 405,105.80 is: 607,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,086.60 : 733,629.90 = 405,105.80 : x
  2. Step 2: Convert to fraction form
    489,086.60/733,629.90 = 405,105.80/x
  3. Step 3: Cross multiply
    489,086.60x = 733,629.90 × 405,105.80
  4. Step 4: Simplify right side
    489,086.60x = 297,197,727,543.42
  5. Step 5: Solve for x
    x = 297,197,727,543.42/489,086.60
  6. Step 6: Final answer
    x = 607,658.70

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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.