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Finding the Fourth Proportional to 470,447.57, 705,564.97 and 217,589.31

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Solution

The fourth proportional to 470,447.57, 705,564.97 and 217,589.31 is: 326,334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,447.57 : 705,564.97 = 217,589.31 : x
  2. Step 2: Convert to fraction form
    470,447.57/705,564.97 = 217,589.31/x
  3. Step 3: Cross multiply
    470,447.57x = 705,564.97 × 217,589.31
  4. Step 4: Simplify right side
    470,447.57x = 153,523,394,438.50
  5. Step 5: Solve for x
    x = 153,523,394,438.50/470,447.57
  6. Step 6: Final answer
    x = 326,334.76

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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.