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Finding the Fourth Proportional to 486,002.70, 728,910.09 and 148,961.70

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Solution

The fourth proportional to 486,002.70, 728,910.09 and 148,961.70 is: 223,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,002.70 : 728,910.09 = 148,961.70 : x
  2. Step 2: Convert to fraction form
    486,002.70/728,910.09 = 148,961.70/x
  3. Step 3: Cross multiply
    486,002.70x = 728,910.09 × 148,961.70
  4. Step 4: Simplify right side
    486,002.70x = 108,579,686,153.55
  5. Step 5: Solve for x
    x = 108,579,686,153.55/486,002.70
  6. Step 6: Final answer
    x = 223,413.75

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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.