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Finding the Fourth Proportional to 428,488.60, 642,729.66 and 128,967.88

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Solution

The fourth proportional to 428,488.60, 642,729.66 and 128,967.88 is: 193,450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,488.60 : 642,729.66 = 128,967.88 : x
  2. Step 2: Convert to fraction form
    428,488.60/642,729.66 = 128,967.88/x
  3. Step 3: Cross multiply
    428,488.60x = 642,729.66 × 128,967.88
  4. Step 4: Simplify right side
    428,488.60x = 82,891,481,663.32
  5. Step 5: Solve for x
    x = 82,891,481,663.32/428,488.60
  6. Step 6: Final answer
    x = 193,450.84

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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.