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Finding the Fourth Proportional to 428,574.28, 640,969.26 and 259,627.72

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Solution

The fourth proportional to 428,574.28, 640,969.26 and 259,627.72 is: 388,295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,574.28 : 640,969.26 = 259,627.72 : x
  2. Step 2: Convert to fraction form
    428,574.28/640,969.26 = 259,627.72/x
  3. Step 3: Cross multiply
    428,574.28x = 640,969.26 × 259,627.72
  4. Step 4: Simplify right side
    428,574.28x = 166,413,387,563.89
  5. Step 5: Solve for x
    x = 166,413,387,563.89/428,574.28
  6. Step 6: Final answer
    x = 388,295.32

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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.