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Finding the Fourth Proportional to 311,358.45, 466,674.74 and 142,896.57

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Solution

The fourth proportional to 311,358.45, 466,674.74 and 142,896.57 is: 214,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,358.45 : 466,674.74 = 142,896.57 : x
  2. Step 2: Convert to fraction form
    311,358.45/466,674.74 = 142,896.57/x
  3. Step 3: Cross multiply
    311,358.45x = 466,674.74 × 142,896.57
  4. Step 4: Simplify right side
    311,358.45x = 66,686,218,937.16
  5. Step 5: Solve for x
    x = 66,686,218,937.16/311,358.45
  6. Step 6: Final answer
    x = 214,178.29

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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.