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Finding the Fourth Proportional to 431,947.20, 647,094.60 and 232,201.20

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Solution

The fourth proportional to 431,947.20, 647,094.60 and 232,201.20 is: 347,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,947.20 : 647,094.60 = 232,201.20 : x
  2. Step 2: Convert to fraction form
    431,947.20/647,094.60 = 232,201.20/x
  3. Step 3: Cross multiply
    431,947.20x = 647,094.60 × 232,201.20
  4. Step 4: Simplify right side
    431,947.20x = 150,256,142,633.52
  5. Step 5: Solve for x
    x = 150,256,142,633.52/431,947.20
  6. Step 6: Final answer
    x = 347,857.66

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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.