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Finding the Fourth Proportional to 297,480.72, 446,221.62 and 209,129.52

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Solution

The fourth proportional to 297,480.72, 446,221.62 and 209,129.52 is: 313,694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,480.72 : 446,221.62 = 209,129.52 : x
  2. Step 2: Convert to fraction form
    297,480.72/446,221.62 = 209,129.52/x
  3. Step 3: Cross multiply
    297,480.72x = 446,221.62 × 209,129.52
  4. Step 4: Simplify right side
    297,480.72x = 93,318,113,204.22
  5. Step 5: Solve for x
    x = 93,318,113,204.22/297,480.72
  6. Step 6: Final answer
    x = 313,694.66

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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.