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Finding the Fourth Proportional to 428,054.86, 642,156.25 and 143,772.87

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Solution

The fourth proportional to 428,054.86, 642,156.25 and 143,772.87 is: 215,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,054.86 : 642,156.25 = 143,772.87 : x
  2. Step 2: Convert to fraction form
    428,054.86/642,156.25 = 143,772.87/x
  3. Step 3: Cross multiply
    428,054.86x = 642,156.25 × 143,772.87
  4. Step 4: Simplify right side
    428,054.86x = 92,324,647,050.94
  5. Step 5: Solve for x
    x = 92,324,647,050.94/428,054.86
  6. Step 6: Final answer
    x = 215,684.15

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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.