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Finding the Fourth Proportional to 470,234.80, 705,352.20 and 328,517.20

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Solution

The fourth proportional to 470,234.80, 705,352.20 and 328,517.20 is: 492,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,234.80 : 705,352.20 = 328,517.20 : x
  2. Step 2: Convert to fraction form
    470,234.80/705,352.20 = 328,517.20/x
  3. Step 3: Cross multiply
    470,234.80x = 705,352.20 × 328,517.20
  4. Step 4: Simplify right side
    470,234.80x = 231,720,329,757.84
  5. Step 5: Solve for x
    x = 231,720,329,757.84/470,234.80
  6. Step 6: Final answer
    x = 492,775.80

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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.