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Finding the Fourth Proportional to 428,141.79, 641,908.68 and 214,756.20

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Solution

The fourth proportional to 428,141.79, 641,908.68 and 214,756.20 is: 321,981.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,141.79 : 641,908.68 = 214,756.20 : x
  2. Step 2: Convert to fraction form
    428,141.79/641,908.68 = 214,756.20/x
  3. Step 3: Cross multiply
    428,141.79x = 641,908.68 × 214,756.20
  4. Step 4: Simplify right side
    428,141.79x = 137,853,868,863.82
  5. Step 5: Solve for x
    x = 137,853,868,863.82/428,141.79
  6. Step 6: Final answer
    x = 321,981.81

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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.