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Finding the Fourth Proportional to 431,049.14, 646,533.81 and 203,292.53

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Solution

The fourth proportional to 431,049.14, 646,533.81 and 203,292.53 is: 304,919.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,049.14 : 646,533.81 = 203,292.53 : x
  2. Step 2: Convert to fraction form
    431,049.14/646,533.81 = 203,292.53/x
  3. Step 3: Cross multiply
    431,049.14x = 646,533.81 × 203,292.53
  4. Step 4: Simplify right side
    431,049.14x = 131,435,490,732.77
  5. Step 5: Solve for x
    x = 131,435,490,732.77/431,049.14
  6. Step 6: Final answer
    x = 304,919.97

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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.