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Finding the Fourth Proportional to 428,041.27, 642,241.11 and 188,031.38

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Solution

The fourth proportional to 428,041.27, 642,241.11 and 188,031.38 is: 282,125.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,041.27 : 642,241.11 = 188,031.38 : x
  2. Step 2: Convert to fraction form
    428,041.27/642,241.11 = 188,031.38/x
  3. Step 3: Cross multiply
    428,041.27x = 642,241.11 × 188,031.38
  4. Step 4: Simplify right side
    428,041.27x = 120,761,482,206.03
  5. Step 5: Solve for x
    x = 120,761,482,206.03/428,041.27
  6. Step 6: Final answer
    x = 282,125.79

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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.