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Finding the Fourth Proportional to 428,907.71, 643,366.18 and 129,390.88

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Solution

The fourth proportional to 428,907.71, 643,366.18 and 129,390.88 is: 194,087.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,907.71 : 643,366.18 = 129,390.88 : x
  2. Step 2: Convert to fraction form
    428,907.71/643,366.18 = 129,390.88/x
  3. Step 3: Cross multiply
    428,907.71x = 643,366.18 × 129,390.88
  4. Step 4: Simplify right side
    428,907.71x = 83,245,714,260.55
  5. Step 5: Solve for x
    x = 83,245,714,260.55/428,907.71
  6. Step 6: Final answer
    x = 194,087.71

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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.