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Finding the Fourth Proportional to 470,131.20, 705,369.60 and 189,676.80

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Solution

The fourth proportional to 470,131.20, 705,369.60 and 189,676.80 is: 284,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,131.20 : 705,369.60 = 189,676.80 : x
  2. Step 2: Convert to fraction form
    470,131.20/705,369.60 = 189,676.80/x
  3. Step 3: Cross multiply
    470,131.20x = 705,369.60 × 189,676.80
  4. Step 4: Simplify right side
    470,131.20x = 133,792,248,545.28
  5. Step 5: Solve for x
    x = 133,792,248,545.28/470,131.20
  6. Step 6: Final answer
    x = 284,584.92

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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.