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Finding the Fourth Proportional to 431,774.90, 647,662.35 and 151,255.70

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Solution

The fourth proportional to 431,774.90, 647,662.35 and 151,255.70 is: 226,883.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,774.90 : 647,662.35 = 151,255.70 : x
  2. Step 2: Convert to fraction form
    431,774.90/647,662.35 = 151,255.70/x
  3. Step 3: Cross multiply
    431,774.90x = 647,662.35 × 151,255.70
  4. Step 4: Simplify right side
    431,774.90x = 97,962,622,112.90
  5. Step 5: Solve for x
    x = 97,962,622,112.90/431,774.90
  6. Step 6: Final answer
    x = 226,883.55

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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.