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Finding the Fourth Proportional to 297,709.20, 410,830.20 and 161,737.20

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Solution

The fourth proportional to 297,709.20, 410,830.20 and 161,737.20 is: 223,192.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,709.20 : 410,830.20 = 161,737.20 : x
  2. Step 2: Convert to fraction form
    297,709.20/410,830.20 = 161,737.20/x
  3. Step 3: Cross multiply
    297,709.20x = 410,830.20 × 161,737.20
  4. Step 4: Simplify right side
    297,709.20x = 66,446,526,223.44
  5. Step 5: Solve for x
    x = 66,446,526,223.44/297,709.20
  6. Step 6: Final answer
    x = 223,192.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.