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Finding the Fourth Proportional to 428,200.88, 642,276.61 and 128,675.03

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Solution

The fourth proportional to 428,200.88, 642,276.61 and 128,675.03 is: 193,005.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,200.88 : 642,276.61 = 128,675.03 : x
  2. Step 2: Convert to fraction form
    428,200.88/642,276.61 = 128,675.03/x
  3. Step 3: Cross multiply
    428,200.88x = 642,276.61 × 128,675.03
  4. Step 4: Simplify right side
    428,200.88x = 82,644,958,526.98
  5. Step 5: Solve for x
    x = 82,644,958,526.98/428,200.88
  6. Step 6: Final answer
    x = 193,005.11

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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.