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Finding the Fourth Proportional to 311,645.04, 430,232.76 and 221,217.03

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Solution

The fourth proportional to 311,645.04, 430,232.76 and 221,217.03 is: 305,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,645.04 : 430,232.76 = 221,217.03 : x
  2. Step 2: Convert to fraction form
    311,645.04/430,232.76 = 221,217.03/x
  3. Step 3: Cross multiply
    311,645.04x = 430,232.76 × 221,217.03
  4. Step 4: Simplify right side
    311,645.04x = 95,174,813,375.90
  5. Step 5: Solve for x
    x = 95,174,813,375.90/311,645.04
  6. Step 6: Final answer
    x = 305,394.93

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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.