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Finding the Fourth Proportional to 297,813.60, 446,720.40 and 213,832.80

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Solution

The fourth proportional to 297,813.60, 446,720.40 and 213,832.80 is: 320,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,813.60 : 446,720.40 = 213,832.80 : x
  2. Step 2: Convert to fraction form
    297,813.60/446,720.40 = 213,832.80/x
  3. Step 3: Cross multiply
    297,813.60x = 446,720.40 × 213,832.80
  4. Step 4: Simplify right side
    297,813.60x = 95,523,473,949.12
  5. Step 5: Solve for x
    x = 95,523,473,949.12/297,813.60
  6. Step 6: Final answer
    x = 320,749.20

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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.