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Finding the Fourth Proportional to 431,978.64, 647,442.64 and 305,655.30

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Solution

The fourth proportional to 431,978.64, 647,442.64 and 305,655.30 is: 458,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,978.64 : 647,442.64 = 305,655.30 : x
  2. Step 2: Convert to fraction form
    431,978.64/647,442.64 = 305,655.30/x
  3. Step 3: Cross multiply
    431,978.64x = 647,442.64 × 305,655.30
  4. Step 4: Simplify right side
    431,978.64x = 197,894,274,361.99
  5. Step 5: Solve for x
    x = 197,894,274,361.99/431,978.64
  6. Step 6: Final answer
    x = 458,111.25

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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.