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Finding the Fourth Proportional to 320,431.70, 480,129.15 and 201,890.90

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Solution

The fourth proportional to 320,431.70, 480,129.15 and 201,890.90 is: 302,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,431.70 : 480,129.15 = 201,890.90 : x
  2. Step 2: Convert to fraction form
    320,431.70/480,129.15 = 201,890.90/x
  3. Step 3: Cross multiply
    320,431.70x = 480,129.15 × 201,890.90
  4. Step 4: Simplify right side
    320,431.70x = 96,933,706,209.74
  5. Step 5: Solve for x
    x = 96,933,706,209.74/320,431.70
  6. Step 6: Final answer
    x = 302,509.73

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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.