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Finding the Fourth Proportional to 428,591.28, 640,994.76 and 259,644.72

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Solution

The fourth proportional to 428,591.28, 640,994.76 and 259,644.72 is: 388,320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,591.28 : 640,994.76 = 259,644.72 : x
  2. Step 2: Convert to fraction form
    428,591.28/640,994.76 = 259,644.72/x
  3. Step 3: Cross multiply
    428,591.28x = 640,994.76 × 259,644.72
  4. Step 4: Simplify right side
    428,591.28x = 166,430,904,981.67
  5. Step 5: Solve for x
    x = 166,430,904,981.67/428,591.28
  6. Step 6: Final answer
    x = 388,320.79

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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.