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Finding the Fourth Proportional to 389,361.62, 584,136.41 and 146,204.67

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Solution

The fourth proportional to 389,361.62, 584,136.41 and 146,204.67 is: 219,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,361.62 : 584,136.41 = 146,204.67 : x
  2. Step 2: Convert to fraction form
    389,361.62/584,136.41 = 146,204.67/x
  3. Step 3: Cross multiply
    389,361.62x = 584,136.41 × 146,204.67
  4. Step 4: Simplify right side
    389,361.62x = 85,403,470,328.01
  5. Step 5: Solve for x
    x = 85,403,470,328.01/389,361.62
  6. Step 6: Final answer
    x = 219,342.30

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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.