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Finding the Fourth Proportional to 428,956.80, 643,440.06 and 129,440.27

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Solution

The fourth proportional to 428,956.80, 643,440.06 and 129,440.27 is: 194,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,956.80 : 643,440.06 = 129,440.27 : x
  2. Step 2: Convert to fraction form
    428,956.80/643,440.06 = 129,440.27/x
  3. Step 3: Cross multiply
    428,956.80x = 643,440.06 × 129,440.27
  4. Step 4: Simplify right side
    428,956.80x = 83,287,051,878.02
  5. Step 5: Solve for x
    x = 83,287,051,878.02/428,956.80
  6. Step 6: Final answer
    x = 194,161.86

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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.