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Finding the Fourth Proportional to 180,411.30, 270,288.90 and 146,950.20

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Solution

The fourth proportional to 180,411.30, 270,288.90 and 146,950.20 is: 220,158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,411.30 : 270,288.90 = 146,950.20 : x
  2. Step 2: Convert to fraction form
    180,411.30/270,288.90 = 146,950.20/x
  3. Step 3: Cross multiply
    180,411.30x = 270,288.90 × 146,950.20
  4. Step 4: Simplify right side
    180,411.30x = 39,719,007,912.78
  5. Step 5: Solve for x
    x = 39,719,007,912.78/180,411.30
  6. Step 6: Final answer
    x = 220,158.09

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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.