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Finding the Fourth Proportional to 431,945.60, 647,157.36 and 384,978.56

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Solution

The fourth proportional to 431,945.60, 647,157.36 and 384,978.56 is: 576,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,945.60 : 647,157.36 = 384,978.56 : x
  2. Step 2: Convert to fraction form
    431,945.60/647,157.36 = 384,978.56/x
  3. Step 3: Cross multiply
    431,945.60x = 647,157.36 × 384,978.56
  4. Step 4: Simplify right side
    431,945.60x = 249,141,708,546.20
  5. Step 5: Solve for x
    x = 249,141,708,546.20/431,945.60
  6. Step 6: Final answer
    x = 576,789.55

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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.