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Finding the Fourth Proportional to 428,117.88, 642,376.08 and 191,620.56

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Solution

The fourth proportional to 428,117.88, 642,376.08 and 191,620.56 is: 287,520.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,117.88 : 642,376.08 = 191,620.56 : x
  2. Step 2: Convert to fraction form
    428,117.88/642,376.08 = 191,620.56/x
  3. Step 3: Cross multiply
    428,117.88x = 642,376.08 × 191,620.56
  4. Step 4: Simplify right side
    428,117.88x = 123,092,464,180.21
  5. Step 5: Solve for x
    x = 123,092,464,180.21/428,117.88
  6. Step 6: Final answer
    x = 287,520.03

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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.