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Finding the Fourth Proportional to 297,471.72, 446,208.12 and 209,120.52

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Solution

The fourth proportional to 297,471.72, 446,208.12 and 209,120.52 is: 313,681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,471.72 : 446,208.12 = 209,120.52 : x
  2. Step 2: Convert to fraction form
    297,471.72/446,208.12 = 209,120.52/x
  3. Step 3: Cross multiply
    297,471.72x = 446,208.12 × 209,120.52
  4. Step 4: Simplify right side
    297,471.72x = 93,311,274,082.62
  5. Step 5: Solve for x
    x = 93,311,274,082.62/297,471.72
  6. Step 6: Final answer
    x = 313,681.16

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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.