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Finding the Fourth Proportional to 654,164.70, 981,247.05 and 430,215.90

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Solution

The fourth proportional to 654,164.70, 981,247.05 and 430,215.90 is: 645,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,164.70 : 981,247.05 = 430,215.90 : x
  2. Step 2: Convert to fraction form
    654,164.70/981,247.05 = 430,215.90/x
  3. Step 3: Cross multiply
    654,164.70x = 981,247.05 × 430,215.90
  4. Step 4: Simplify right side
    654,164.70x = 422,148,082,738.10
  5. Step 5: Solve for x
    x = 422,148,082,738.10/654,164.70
  6. Step 6: Final answer
    x = 645,323.85

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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.