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Finding the Fourth Proportional to 427,437.28, 640,739.28 and 178,190.56

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Solution

The fourth proportional to 427,437.28, 640,739.28 and 178,190.56 is: 267,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,437.28 : 640,739.28 = 178,190.56 : x
  2. Step 2: Convert to fraction form
    427,437.28/640,739.28 = 178,190.56/x
  3. Step 3: Cross multiply
    427,437.28x = 640,739.28 × 178,190.56
  4. Step 4: Simplify right side
    427,437.28x = 114,173,691,117.20
  5. Step 5: Solve for x
    x = 114,173,691,117.20/427,437.28
  6. Step 6: Final answer
    x = 267,112.15

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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.