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Finding the Fourth Proportional to 431,901.24, 647,575.05 and 179,356.05

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Solution

The fourth proportional to 431,901.24, 647,575.05 and 179,356.05 is: 268,919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,901.24 : 647,575.05 = 179,356.05 : x
  2. Step 2: Convert to fraction form
    431,901.24/647,575.05 = 179,356.05/x
  3. Step 3: Cross multiply
    431,901.24x = 647,575.05 × 179,356.05
  4. Step 4: Simplify right side
    431,901.24x = 116,146,503,719.14
  5. Step 5: Solve for x
    x = 116,146,503,719.14/431,901.24
  6. Step 6: Final answer
    x = 268,919.13

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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.