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Finding the Fourth Proportional to 428,041.77, 642,241.86 and 188,031.88

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Solution

The fourth proportional to 428,041.77, 642,241.86 and 188,031.88 is: 282,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,041.77 : 642,241.86 = 188,031.88 : x
  2. Step 2: Convert to fraction form
    428,041.77/642,241.86 = 188,031.88/x
  3. Step 3: Cross multiply
    428,041.77x = 642,241.86 × 188,031.88
  4. Step 4: Simplify right side
    428,041.77x = 120,761,944,350.50
  5. Step 5: Solve for x
    x = 120,761,944,350.50/428,041.77
  6. Step 6: Final answer
    x = 282,126.54

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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.