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Finding the Fourth Proportional to 300,639.69, 414,683.40 and 193,345.47

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Solution

The fourth proportional to 300,639.69, 414,683.40 and 193,345.47 is: 266,688.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,639.69 : 414,683.40 = 193,345.47 : x
  2. Step 2: Convert to fraction form
    300,639.69/414,683.40 = 193,345.47/x
  3. Step 3: Cross multiply
    300,639.69x = 414,683.40 × 193,345.47
  4. Step 4: Simplify right side
    300,639.69x = 80,177,156,874.20
  5. Step 5: Solve for x
    x = 80,177,156,874.20/300,639.69
  6. Step 6: Final answer
    x = 266,688.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.