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Finding the Fourth Proportional to 489,136.40, 733,704.60 and 223,415.90

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Solution

The fourth proportional to 489,136.40, 733,704.60 and 223,415.90 is: 335,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,136.40 : 733,704.60 = 223,415.90 : x
  2. Step 2: Convert to fraction form
    489,136.40/733,704.60 = 223,415.90/x
  3. Step 3: Cross multiply
    489,136.40x = 733,704.60 × 223,415.90
  4. Step 4: Simplify right side
    489,136.40x = 163,921,273,543.14
  5. Step 5: Solve for x
    x = 163,921,273,543.14/489,136.40
  6. Step 6: Final answer
    x = 335,123.85

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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.