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Finding the Fourth Proportional to 280,850.20, 420,916.90 and 114,450.20

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Solution

The fourth proportional to 280,850.20, 420,916.90 and 114,450.20 is: 171,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,850.20 : 420,916.90 = 114,450.20 : x
  2. Step 2: Convert to fraction form
    280,850.20/420,916.90 = 114,450.20/x
  3. Step 3: Cross multiply
    280,850.20x = 420,916.90 × 114,450.20
  4. Step 4: Simplify right side
    280,850.20x = 48,174,023,388.38
  5. Step 5: Solve for x
    x = 48,174,023,388.38/280,850.20
  6. Step 6: Final answer
    x = 171,529.25

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1.5x scale

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.