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Finding the Fourth Proportional to 431,978.40, 647,442.27 and 305,655.05

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Solution

The fourth proportional to 431,978.40, 647,442.27 and 305,655.05 is: 458,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,978.40 : 647,442.27 = 305,655.05 : x
  2. Step 2: Convert to fraction form
    431,978.40/647,442.27 = 305,655.05/x
  3. Step 3: Cross multiply
    431,978.40x = 647,442.27 × 305,655.05
  4. Step 4: Simplify right side
    431,978.40x = 197,893,996,171.75
  5. Step 5: Solve for x
    x = 197,893,996,171.75/431,978.40
  6. Step 6: Final answer
    x = 458,110.86

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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.