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Finding the Fourth Proportional to 431,485.30, 647,237.18 and 111,644.07

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Solution

The fourth proportional to 431,485.30, 647,237.18 and 111,644.07 is: 167,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,485.30 : 647,237.18 = 111,644.07 : x
  2. Step 2: Convert to fraction form
    431,485.30/647,237.18 = 111,644.07/x
  3. Step 3: Cross multiply
    431,485.30x = 647,237.18 × 111,644.07
  4. Step 4: Simplify right side
    431,485.30x = 72,260,194,523.20
  5. Step 5: Solve for x
    x = 72,260,194,523.20/431,485.30
  6. Step 6: Final answer
    x = 167,468.50

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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.