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Finding the Fourth Proportional to 431,974.74, 647,888.25 and 116,357.83

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Solution

The fourth proportional to 431,974.74, 647,888.25 and 116,357.83 is: 174,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,974.74 : 647,888.25 = 116,357.83 : x
  2. Step 2: Convert to fraction form
    431,974.74/647,888.25 = 116,357.83/x
  3. Step 3: Cross multiply
    431,974.74x = 647,888.25 × 116,357.83
  4. Step 4: Simplify right side
    431,974.74x = 75,386,871,143.39
  5. Step 5: Solve for x
    x = 75,386,871,143.39/431,974.74
  6. Step 6: Final answer
    x = 174,516.85

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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.