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Finding the Fourth Proportional to 428,357.85, 642,591.86 and 143,925.54

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Solution

The fourth proportional to 428,357.85, 642,591.86 and 143,925.54 is: 215,906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,357.85 : 642,591.86 = 143,925.54 : x
  2. Step 2: Convert to fraction form
    428,357.85/642,591.86 = 143,925.54/x
  3. Step 3: Cross multiply
    428,357.85x = 642,591.86 × 143,925.54
  4. Step 4: Simplify right side
    428,357.85x = 92,485,379,730.48
  5. Step 5: Solve for x
    x = 92,485,379,730.48/428,357.85
  6. Step 6: Final answer
    x = 215,906.82

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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.