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Finding the Fourth Proportional to 442,896.40, 664,441.80 and 143,390.80

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Solution

The fourth proportional to 442,896.40, 664,441.80 and 143,390.80 is: 215,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,896.40 : 664,441.80 = 143,390.80 : x
  2. Step 2: Convert to fraction form
    442,896.40/664,441.80 = 143,390.80/x
  3. Step 3: Cross multiply
    442,896.40x = 664,441.80 × 143,390.80
  4. Step 4: Simplify right side
    442,896.40x = 95,274,841,255.44
  5. Step 5: Solve for x
    x = 95,274,841,255.44/442,896.40
  6. Step 6: Final answer
    x = 215,117.67

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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.