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Finding the Fourth Proportional to 431,768.12, 647,375.05 and 179,222.93

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Solution

The fourth proportional to 431,768.12, 647,375.05 and 179,222.93 is: 268,719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,768.12 : 647,375.05 = 179,222.93 : x
  2. Step 2: Convert to fraction form
    431,768.12/647,375.05 = 179,222.93/x
  3. Step 3: Cross multiply
    431,768.12x = 647,375.05 × 179,222.93
  4. Step 4: Simplify right side
    431,768.12x = 116,024,454,050.26
  5. Step 5: Solve for x
    x = 116,024,454,050.26/431,768.12
  6. Step 6: Final answer
    x = 268,719.36

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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.