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Finding the Fourth Proportional to 489,136.64, 733,704.96 and 322,885.76

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Solution

The fourth proportional to 489,136.64, 733,704.96 and 322,885.76 is: 484,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,136.64 : 733,704.96 = 322,885.76 : x
  2. Step 2: Convert to fraction form
    489,136.64/733,704.96 = 322,885.76/x
  3. Step 3: Cross multiply
    489,136.64x = 733,704.96 × 322,885.76
  4. Step 4: Simplify right side
    489,136.64x = 236,902,883,625.37
  5. Step 5: Solve for x
    x = 236,902,883,625.37/489,136.64
  6. Step 6: Final answer
    x = 484,328.64

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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.